Finding the Third Proportional to 82,641 and 120,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,641 : 120,073.50 = 120,073.50 : x
2. Step 2: Convert to fraction form
   82,641/120,073.50 = 120,073.50/x
3. Step 3: Cross multiply
   82,641x = 120,073.50 × 120,073.50
4. Step 4: Simplify right side
   82,641x = 14,417,645,402.25
5. Step 5: Solve for x
   x = 14,417,645,402.25/82,641
6. Step 6: Final answer
   x = 174,461.17