Finding the Third Proportional to 76,040 and 113,412

Step by Step Solution

1. Step 1: Write the proportion equation
   76,040 : 113,412 = 113,412 : x
2. Step 2: Convert to fraction form
   76,040/113,412 = 113,412/x
3. Step 3: Cross multiply
   76,040x = 113,412 × 113,412
4. Step 4: Simplify right side
   76,040x = 12,862,281,744
5. Step 5: Solve for x
   x = 12,862,281,744/76,040
6. Step 6: Final answer
   x = 169,151.52