Finding the Third Proportional to 53,742 and 116,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,742 : 116,687.50 = 116,687.50 : x
2. Step 2: Convert to fraction form
   53,742/116,687.50 = 116,687.50/x
3. Step 3: Cross multiply
   53,742x = 116,687.50 × 116,687.50
4. Step 4: Simplify right side
   53,742x = 13,615,972,656.25
5. Step 5: Solve for x
   x = 13,615,972,656.25/53,742
6. Step 6: Final answer
   x = 253,358.13