Finding the Third Proportional to 83,529 and 120,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,529 : 120,685.50 = 120,685.50 : x
2. Step 2: Convert to fraction form
   83,529/120,685.50 = 120,685.50/x
3. Step 3: Cross multiply
   83,529x = 120,685.50 × 120,685.50
4. Step 4: Simplify right side
   83,529x = 14,564,989,910.25
5. Step 5: Solve for x
   x = 14,564,989,910.25/83,529
6. Step 6: Final answer
   x = 174,370.46