Finding the Third Proportional to 25,304 and 59,120

Step by Step Solution

1. Step 1: Write the proportion equation
   25,304 : 59,120 = 59,120 : x
2. Step 2: Convert to fraction form
   25,304/59,120 = 59,120/x
3. Step 3: Cross multiply
   25,304x = 59,120 × 59,120
4. Step 4: Simplify right side
   25,304x = 3,495,174,400
5. Step 5: Solve for x
   x = 3,495,174,400/25,304
6. Step 6: Final answer
   x = 138,127.35