Finding the Third Proportional to 59,148 and 129,746

Step by Step Solution

1. Step 1: Write the proportion equation
   59,148 : 129,746 = 129,746 : x
2. Step 2: Convert to fraction form
   59,148/129,746 = 129,746/x
3. Step 3: Cross multiply
   59,148x = 129,746 × 129,746
4. Step 4: Simplify right side
   59,148x = 16,834,024,516
5. Step 5: Solve for x
   x = 16,834,024,516/59,148
6. Step 6: Final answer
   x = 284,608.52