Finding the Third Proportional to 71,634 and 161,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,634 : 161,737.50 = 161,737.50 : x
2. Step 2: Convert to fraction form
   71,634/161,737.50 = 161,737.50/x
3. Step 3: Cross multiply
   71,634x = 161,737.50 × 161,737.50
4. Step 4: Simplify right side
   71,634x = 26,159,018,906.25
5. Step 5: Solve for x
   x = 26,159,018,906.25/71,634
6. Step 6: Final answer
   x = 365,176.02