Finding the Third Proportional to 111,916 and 257,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,916 : 257,737.50 = 257,737.50 : x
2. Step 2: Convert to fraction form
   111,916/257,737.50 = 257,737.50/x
3. Step 3: Cross multiply
   111,916x = 257,737.50 × 257,737.50
4. Step 4: Simplify right side
   111,916x = 66,428,618,906.25
5. Step 5: Solve for x
   x = 66,428,618,906.25/111,916
6. Step 6: Final answer
   x = 593,557.84