Finding the Third Proportional to 59,518 and 130,532

Step by Step Solution

1. Step 1: Write the proportion equation
   59,518 : 130,532 = 130,532 : x
2. Step 2: Convert to fraction form
   59,518/130,532 = 130,532/x
3. Step 3: Cross multiply
   59,518x = 130,532 × 130,532
4. Step 4: Simplify right side
   59,518x = 17,038,603,024
5. Step 5: Solve for x
   x = 17,038,603,024/59,518
6. Step 6: Final answer
   x = 286,276.47