Finding the Third Proportional to 85,116.75 and 123,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,116.75 : 123,679.50 = 123,679.50 : x
2. Step 2: Convert to fraction form
   85,116.75/123,679.50 = 123,679.50/x
3. Step 3: Cross multiply
   85,116.75x = 123,679.50 × 123,679.50
4. Step 4: Simplify right side
   85,116.75x = 15,296,618,720.25
5. Step 5: Solve for x
   x = 15,296,618,720.25/85,116.75
6. Step 6: Final answer
   x = 179,713.38