Finding the Third Proportional to 107,320 and 233,078

Step by Step Solution

1. Step 1: Write the proportion equation
   107,320 : 233,078 = 233,078 : x
2. Step 2: Convert to fraction form
   107,320/233,078 = 233,078/x
3. Step 3: Cross multiply
   107,320x = 233,078 × 233,078
4. Step 4: Simplify right side
   107,320x = 54,325,354,084
5. Step 5: Solve for x
   x = 54,325,354,084/107,320
6. Step 6: Final answer
   x = 506,199.72