Finding the Third Proportional to 52,608 and 114,432

Step by Step Solution

1. Step 1: Write the proportion equation
   52,608 : 114,432 = 114,432 : x
2. Step 2: Convert to fraction form
   52,608/114,432 = 114,432/x
3. Step 3: Cross multiply
   52,608x = 114,432 × 114,432
4. Step 4: Simplify right side
   52,608x = 13,094,682,624
5. Step 5: Solve for x
   x = 13,094,682,624/52,608
6. Step 6: Final answer
   x = 248,910.48