Finding the Third Proportional to 52,596 and 114,695

Step by Step Solution

1. Step 1: Write the proportion equation
   52,596 : 114,695 = 114,695 : x
2. Step 2: Convert to fraction form
   52,596/114,695 = 114,695/x
3. Step 3: Cross multiply
   52,596x = 114,695 × 114,695
4. Step 4: Simplify right side
   52,596x = 13,154,943,025
5. Step 5: Solve for x
   x = 13,154,943,025/52,596
6. Step 6: Final answer
   x = 250,112.99