Finding the Third Proportional to 83,826,329,364 and 182,824,342,134

Step by Step Solution

1. Step 1: Write the proportion equation
   83,826,329,364 : 182,824,342,134 = 182,824,342,134 : x
2. Step 2: Convert to fraction form
   83,826,329,364/182,824,342,134 = 182,824,342,134/x
3. Step 3: Cross multiply
   83,826,329,364x = 182,824,342,134 × 182,824,342,134
4. Step 4: Simplify right side
   83,826,329,364x = 33,424,740,076,729,887,883,264
5. Step 5: Solve for x
   x = 33,424,740,076,729,887,883,264/83,826,329,364
6. Step 6: Final answer
   x = 398,737,966,105.96