Finding the Third Proportional to 52,980 and 114,564

Step by Step Solution

1. Step 1: Write the proportion equation
   52,980 : 114,564 = 114,564 : x
2. Step 2: Convert to fraction form
   52,980/114,564 = 114,564/x
3. Step 3: Cross multiply
   52,980x = 114,564 × 114,564
4. Step 4: Simplify right side
   52,980x = 13,124,910,096
5. Step 5: Solve for x
   x = 13,124,910,096/52,980
6. Step 6: Final answer
   x = 247,733.30