Finding the Third Proportional to 53,248.50 and 85,785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,248.50 : 85,785.75 = 85,785.75 : x
2. Step 2: Convert to fraction form
   53,248.50/85,785.75 = 85,785.75/x
3. Step 3: Cross multiply
   53,248.50x = 85,785.75 × 85,785.75
4. Step 4: Simplify right side
   53,248.50x = 7,359,194,903.06
5. Step 5: Solve for x
   x = 7,359,194,903.06/53,248.50
6. Step 6: Final answer
   x = 138,204.74