Finding the Third Proportional to 59,427 and 130,516

Step by Step Solution

1. Step 1: Write the proportion equation
   59,427 : 130,516 = 130,516 : x
2. Step 2: Convert to fraction form
   59,427/130,516 = 130,516/x
3. Step 3: Cross multiply
   59,427x = 130,516 × 130,516
4. Step 4: Simplify right side
   59,427x = 17,034,426,256
5. Step 5: Solve for x
   x = 17,034,426,256/59,427
6. Step 6: Final answer
   x = 286,644.56