Finding the Third Proportional to 85,380.75 and 122,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,380.75 : 122,978.25 = 122,978.25 : x
2. Step 2: Convert to fraction form
   85,380.75/122,978.25 = 122,978.25/x
3. Step 3: Cross multiply
   85,380.75x = 122,978.25 × 122,978.25
4. Step 4: Simplify right side
   85,380.75x = 15,123,649,973.06
5. Step 5: Solve for x
   x = 15,123,649,973.06/85,380.75
6. Step 6: Final answer
   x = 177,131.85