Finding the Third Proportional to 85,785.75 and 123,757.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85,785.75 : 123,757.88 = 123,757.88 : x
2. Step 2: Convert to fraction form
   85,785.75/123,757.88 = 123,757.88/x
3. Step 3: Cross multiply
   85,785.75x = 123,757.88 × 123,757.88
4. Step 4: Simplify right side
   85,785.75x = 15,316,011,624.52
5. Step 5: Solve for x
   x = 15,316,011,624.52/85,785.75
6. Step 6: Final answer
   x = 178,537.95