Finding the Third Proportional to 59,532 and 130,968

Step by Step Solution

1. Step 1: Write the proportion equation
   59,532 : 130,968 = 130,968 : x
2. Step 2: Convert to fraction form
   59,532/130,968 = 130,968/x
3. Step 3: Cross multiply
   59,532x = 130,968 × 130,968
4. Step 4: Simplify right side
   59,532x = 17,152,617,024
5. Step 5: Solve for x
   x = 17,152,617,024/59,532
6. Step 6: Final answer
   x = 288,124.32