Finding the Third Proportional to 72,486 and 102,078

Step by Step Solution

1. Step 1: Write the proportion equation
   72,486 : 102,078 = 102,078 : x
2. Step 2: Convert to fraction form
   72,486/102,078 = 102,078/x
3. Step 3: Cross multiply
   72,486x = 102,078 × 102,078
4. Step 4: Simplify right side
   72,486x = 10,419,918,084
5. Step 5: Solve for x
   x = 10,419,918,084/72,486
6. Step 6: Final answer
   x = 143,750.77