Finding the Third Proportional to 76,470 and 116,325

Step by Step Solution

1. Step 1: Write the proportion equation
   76,470 : 116,325 = 116,325 : x
2. Step 2: Convert to fraction form
   76,470/116,325 = 116,325/x
3. Step 3: Cross multiply
   76,470x = 116,325 × 116,325
4. Step 4: Simplify right side
   76,470x = 13,531,505,625
5. Step 5: Solve for x
   x = 13,531,505,625/76,470
6. Step 6: Final answer
   x = 176,951.82