Finding the Third Proportional to 52,710.75 and 116,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,710.75 : 116,221.50 = 116,221.50 : x
2. Step 2: Convert to fraction form
   52,710.75/116,221.50 = 116,221.50/x
3. Step 3: Cross multiply
   52,710.75x = 116,221.50 × 116,221.50
4. Step 4: Simplify right side
   52,710.75x = 13,507,437,062.25
5. Step 5: Solve for x
   x = 13,507,437,062.25/52,710.75
6. Step 6: Final answer
   x = 256,255.83