Finding the Third Proportional to 59,429 and 130,523

Step by Step Solution

1. Step 1: Write the proportion equation
   59,429 : 130,523 = 130,523 : x
2. Step 2: Convert to fraction form
   59,429/130,523 = 130,523/x
3. Step 3: Cross multiply
   59,429x = 130,523 × 130,523
4. Step 4: Simplify right side
   59,429x = 17,036,253,529
5. Step 5: Solve for x
   x = 17,036,253,529/59,429
6. Step 6: Final answer
   x = 286,665.66