Finding the Third Proportional to 59,357 and 140,117

Step by Step Solution

1. Step 1: Write the proportion equation
   59,357 : 140,117 = 140,117 : x
2. Step 2: Convert to fraction form
   59,357/140,117 = 140,117/x
3. Step 3: Cross multiply
   59,357x = 140,117 × 140,117
4. Step 4: Simplify right side
   59,357x = 19,632,773,689
5. Step 5: Solve for x
   x = 19,632,773,689/59,357
6. Step 6: Final answer
   x = 330,757.51