Finding the Third Proportional to 52,234 and 112,780

Step by Step Solution

1. Step 1: Write the proportion equation
   52,234 : 112,780 = 112,780 : x
2. Step 2: Convert to fraction form
   52,234/112,780 = 112,780/x
3. Step 3: Cross multiply
   52,234x = 112,780 × 112,780
4. Step 4: Simplify right side
   52,234x = 12,719,328,400
5. Step 5: Solve for x
   x = 12,719,328,400/52,234
6. Step 6: Final answer
   x = 243,506.69