Finding the Third Proportional to 101,686 and 237,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,686 : 237,542.50 = 237,542.50 : x
2. Step 2: Convert to fraction form
   101,686/237,542.50 = 237,542.50/x
3. Step 3: Cross multiply
   101,686x = 237,542.50 × 237,542.50
4. Step 4: Simplify right side
   101,686x = 56,426,439,306.25
5. Step 5: Solve for x
   x = 56,426,439,306.25/101,686
6. Step 6: Final answer
   x = 554,908.63