Finding the Third Proportional to 59,842 and 127,460

Step by Step Solution

1. Step 1: Write the proportion equation
   59,842 : 127,460 = 127,460 : x
2. Step 2: Convert to fraction form
   59,842/127,460 = 127,460/x
3. Step 3: Cross multiply
   59,842x = 127,460 × 127,460
4. Step 4: Simplify right side
   59,842x = 16,246,051,600
5. Step 5: Solve for x
   x = 16,246,051,600/59,842
6. Step 6: Final answer
   x = 271,482.43