Finding the Third Proportional to 52,815 and 114,738

Step by Step Solution

1. Step 1: Write the proportion equation
   52,815 : 114,738 = 114,738 : x
2. Step 2: Convert to fraction form
   52,815/114,738 = 114,738/x
3. Step 3: Cross multiply
   52,815x = 114,738 × 114,738
4. Step 4: Simplify right side
   52,815x = 13,164,808,644
5. Step 5: Solve for x
   x = 13,164,808,644/52,815
6. Step 6: Final answer
   x = 249,262.68