Finding the Third Proportional to 76,788 and 123,261.75

Step by Step Solution

1. Step 1: Write the proportion equation
   76,788 : 123,261.75 = 123,261.75 : x
2. Step 2: Convert to fraction form
   76,788/123,261.75 = 123,261.75/x
3. Step 3: Cross multiply
   76,788x = 123,261.75 × 123,261.75
4. Step 4: Simplify right side
   76,788x = 15,193,459,013.06
5. Step 5: Solve for x
   x = 15,193,459,013.06/76,788
6. Step 6: Final answer
   x = 197,862.41