Finding the Third Proportional to 83,522 and 182,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,522 : 182,118.50 = 182,118.50 : x
2. Step 2: Convert to fraction form
   83,522/182,118.50 = 182,118.50/x
3. Step 3: Cross multiply
   83,522x = 182,118.50 × 182,118.50
4. Step 4: Simplify right side
   83,522x = 33,167,148,042.25
5. Step 5: Solve for x
   x = 33,167,148,042.25/83,522
6. Step 6: Final answer
   x = 397,106.73