Finding the Third Proportional to 52,862 and 114,434

Step by Step Solution

1. Step 1: Write the proportion equation
   52,862 : 114,434 = 114,434 : x
2. Step 2: Convert to fraction form
   52,862/114,434 = 114,434/x
3. Step 3: Cross multiply
   52,862x = 114,434 × 114,434
4. Step 4: Simplify right side
   52,862x = 13,095,140,356
5. Step 5: Solve for x
   x = 13,095,140,356/52,862
6. Step 6: Final answer
   x = 247,723.13