Finding the Third Proportional to 83,826,329,340 and 182,824,342,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,826,329,340 : 182,824,342,087.50 = 182,824,342,087.50 : x
2. Step 2: Convert to fraction form
   83,826,329,340/182,824,342,087.50 = 182,824,342,087.50/x
3. Step 3: Cross multiply
   83,826,329,340x = 182,824,342,087.50 × 182,824,342,087.50
4. Step 4: Simplify right side
   83,826,329,340x = 33,424,740,059,727,223,848,960
5. Step 5: Solve for x
   x = 33,424,740,059,727,223,848,960/83,826,329,340
6. Step 6: Final answer
   x = 398,737,966,017.29