Finding the Third Proportional to 59,897 and 130,419

Step by Step Solution

1. Step 1: Write the proportion equation
   59,897 : 130,419 = 130,419 : x
2. Step 2: Convert to fraction form
   59,897/130,419 = 130,419/x
3. Step 3: Cross multiply
   59,897x = 130,419 × 130,419
4. Step 4: Simplify right side
   59,897x = 17,009,115,561
5. Step 5: Solve for x
   x = 17,009,115,561/59,897
6. Step 6: Final answer
   x = 283,972.75