Finding the Third Proportional to 52,147 and 114,095

Step by Step Solution

1. Step 1: Write the proportion equation
   52,147 : 114,095 = 114,095 : x
2. Step 2: Convert to fraction form
   52,147/114,095 = 114,095/x
3. Step 3: Cross multiply
   52,147x = 114,095 × 114,095
4. Step 4: Simplify right side
   52,147x = 13,017,669,025
5. Step 5: Solve for x
   x = 13,017,669,025/52,147
6. Step 6: Final answer
   x = 249,634.09