Finding the Third Proportional to 59,918 and 130,464

Step by Step Solution

1. Step 1: Write the proportion equation
   59,918 : 130,464 = 130,464 : x
2. Step 2: Convert to fraction form
   59,918/130,464 = 130,464/x
3. Step 3: Cross multiply
   59,918x = 130,464 × 130,464
4. Step 4: Simplify right side
   59,918x = 17,020,855,296
5. Step 5: Solve for x
   x = 17,020,855,296/59,918
6. Step 6: Final answer
   x = 284,069.15