Finding the Third Proportional to 52,572 and 114,856

Step by Step Solution

1. Step 1: Write the proportion equation
   52,572 : 114,856 = 114,856 : x
2. Step 2: Convert to fraction form
   52,572/114,856 = 114,856/x
3. Step 3: Cross multiply
   52,572x = 114,856 × 114,856
4. Step 4: Simplify right side
   52,572x = 13,191,900,736
5. Step 5: Solve for x
   x = 13,191,900,736/52,572
6. Step 6: Final answer
   x = 250,930.17