Finding the Third Proportional to 59,382 and 130,428

Step by Step Solution

1. Step 1: Write the proportion equation
   59,382 : 130,428 = 130,428 : x
2. Step 2: Convert to fraction form
   59,382/130,428 = 130,428/x
3. Step 3: Cross multiply
   59,382x = 130,428 × 130,428
4. Step 4: Simplify right side
   59,382x = 17,011,463,184
5. Step 5: Solve for x
   x = 17,011,463,184/59,382
6. Step 6: Final answer
   x = 286,475.08