Finding the Third Proportional to 59,142 and 129,210

Step by Step Solution

1. Step 1: Write the proportion equation
   59,142 : 129,210 = 129,210 : x
2. Step 2: Convert to fraction form
   59,142/129,210 = 129,210/x
3. Step 3: Cross multiply
   59,142x = 129,210 × 129,210
4. Step 4: Simplify right side
   59,142x = 16,695,224,100
5. Step 5: Solve for x
   x = 16,695,224,100/59,142
6. Step 6: Final answer
   x = 282,290.49