Finding the Third Proportional to 160,380 and 252,254.25

Step by Step Solution

1. Step 1: Write the proportion equation
   160,380 : 252,254.25 = 252,254.25 : x
2. Step 2: Convert to fraction form
   160,380/252,254.25 = 252,254.25/x
3. Step 3: Cross multiply
   160,380x = 252,254.25 × 252,254.25
4. Step 4: Simplify right side
   160,380x = 63,632,206,643.06
5. Step 5: Solve for x
   x = 63,632,206,643.06/160,380
6. Step 6: Final answer
   x = 396,758.99