Finding the Third Proportional to 146,180.75 and 314,920

Step by Step Solution

1. Step 1: Write the proportion equation
   146,180.75 : 314,920 = 314,920 : x
2. Step 2: Convert to fraction form
   146,180.75/314,920 = 314,920/x
3. Step 3: Cross multiply
   146,180.75x = 314,920 × 314,920
4. Step 4: Simplify right side
   146,180.75x = 99,174,606,400
5. Step 5: Solve for x
   x = 99,174,606,400/146,180.75
6. Step 6: Final answer
   x = 678,438.21