Finding the Third Proportional to 94,561 and 146,413

Step by Step Solution

1. Step 1: Write the proportion equation
   94,561 : 146,413 = 146,413 : x
2. Step 2: Convert to fraction form
   94,561/146,413 = 146,413/x
3. Step 3: Cross multiply
   94,561x = 146,413 × 146,413
4. Step 4: Simplify right side
   94,561x = 21,436,766,569
5. Step 5: Solve for x
   x = 21,436,766,569/94,561
6. Step 6: Final answer
   x = 226,697.76