Finding the Third Proportional to 52,642 and 112,520

Step by Step Solution

1. Step 1: Write the proportion equation
   52,642 : 112,520 = 112,520 : x
2. Step 2: Convert to fraction form
   52,642/112,520 = 112,520/x
3. Step 3: Cross multiply
   52,642x = 112,520 × 112,520
4. Step 4: Simplify right side
   52,642x = 12,660,750,400
5. Step 5: Solve for x
   x = 12,660,750,400/52,642
6. Step 6: Final answer
   x = 240,506.64