Finding the Third Proportional to 114,320 and 175,366

Step by Step Solution

1. Step 1: Write the proportion equation
   114,320 : 175,366 = 175,366 : x
2. Step 2: Convert to fraction form
   114,320/175,366 = 175,366/x
3. Step 3: Cross multiply
   114,320x = 175,366 × 175,366
4. Step 4: Simplify right side
   114,320x = 30,753,233,956
5. Step 5: Solve for x
   x = 30,753,233,956/114,320
6. Step 6: Final answer
   x = 269,010.09