Finding the Third Proportional to 59,314 and 130,292

Step by Step Solution

1. Step 1: Write the proportion equation
   59,314 : 130,292 = 130,292 : x
2. Step 2: Convert to fraction form
   59,314/130,292 = 130,292/x
3. Step 3: Cross multiply
   59,314x = 130,292 × 130,292
4. Step 4: Simplify right side
   59,314x = 16,976,005,264
5. Step 5: Solve for x
   x = 16,976,005,264/59,314
6. Step 6: Final answer
   x = 286,205.71