Finding the Third Proportional to 52,174 and 112,502

Step by Step Solution

1. Step 1: Write the proportion equation
   52,174 : 112,502 = 112,502 : x
2. Step 2: Convert to fraction form
   52,174/112,502 = 112,502/x
3. Step 3: Cross multiply
   52,174x = 112,502 × 112,502
4. Step 4: Simplify right side
   52,174x = 12,656,700,004
5. Step 5: Solve for x
   x = 12,656,700,004/52,174
6. Step 6: Final answer
   x = 242,586.35