Finding the Third Proportional to 81,984 and 120,060

Step by Step Solution

1. Step 1: Write the proportion equation
   81,984 : 120,060 = 120,060 : x
2. Step 2: Convert to fraction form
   81,984/120,060 = 120,060/x
3. Step 3: Cross multiply
   81,984x = 120,060 × 120,060
4. Step 4: Simplify right side
   81,984x = 14,414,403,600
5. Step 5: Solve for x
   x = 14,414,403,600/81,984
6. Step 6: Final answer
   x = 175,819.72