Finding the Third Proportional to 52,802 and 114,712

Step by Step Solution

1. Step 1: Write the proportion equation
   52,802 : 114,712 = 114,712 : x
2. Step 2: Convert to fraction form
   52,802/114,712 = 114,712/x
3. Step 3: Cross multiply
   52,802x = 114,712 × 114,712
4. Step 4: Simplify right side
   52,802x = 13,158,842,944
5. Step 5: Solve for x
   x = 13,158,842,944/52,802
6. Step 6: Final answer
   x = 249,211.07