Finding the Third Proportional to 146,294.50 and 314,413

Step by Step Solution

1. Step 1: Write the proportion equation
   146,294.50 : 314,413 = 314,413 : x
2. Step 2: Convert to fraction form
   146,294.50/314,413 = 314,413/x
3. Step 3: Cross multiply
   146,294.50x = 314,413 × 314,413
4. Step 4: Simplify right side
   146,294.50x = 98,855,534,569
5. Step 5: Solve for x
   x = 98,855,534,569/146,294.50
6. Step 6: Final answer
   x = 675,729.67