Finding the Third Proportional to 75,766 and 113,650

Step by Step Solution

1. Step 1: Write the proportion equation
   75,766 : 113,650 = 113,650 : x
2. Step 2: Convert to fraction form
   75,766/113,650 = 113,650/x
3. Step 3: Cross multiply
   75,766x = 113,650 × 113,650
4. Step 4: Simplify right side
   75,766x = 12,916,322,500
5. Step 5: Solve for x
   x = 12,916,322,500/75,766
6. Step 6: Final answer
   x = 170,476.50