Finding the Third Proportional to 100,938 and 156,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,938 : 156,737.50 = 156,737.50 : x
2. Step 2: Convert to fraction form
   100,938/156,737.50 = 156,737.50/x
3. Step 3: Cross multiply
   100,938x = 156,737.50 × 156,737.50
4. Step 4: Simplify right side
   100,938x = 24,566,643,906.25
5. Step 5: Solve for x
   x = 24,566,643,906.25/100,938
6. Step 6: Final answer
   x = 243,383.50