Finding the Third Proportional to 52,038 and 114,192

Step by Step Solution

1. Step 1: Write the proportion equation
   52,038 : 114,192 = 114,192 : x
2. Step 2: Convert to fraction form
   52,038/114,192 = 114,192/x
3. Step 3: Cross multiply
   52,038x = 114,192 × 114,192
4. Step 4: Simplify right side
   52,038x = 13,039,812,864
5. Step 5: Solve for x
   x = 13,039,812,864/52,038
6. Step 6: Final answer
   x = 250,582.51