Finding the Third Proportional to 59,093 and 129,670

Step by Step Solution

1. Step 1: Write the proportion equation
   59,093 : 129,670 = 129,670 : x
2. Step 2: Convert to fraction form
   59,093/129,670 = 129,670/x
3. Step 3: Cross multiply
   59,093x = 129,670 × 129,670
4. Step 4: Simplify right side
   59,093x = 16,814,308,900
5. Step 5: Solve for x
   x = 16,814,308,900/59,093
6. Step 6: Final answer
   x = 284,539.77