Finding the Third Proportional to 94,614 and 146,496

Step by Step Solution

1. Step 1: Write the proportion equation
   94,614 : 146,496 = 146,496 : x
2. Step 2: Convert to fraction form
   94,614/146,496 = 146,496/x
3. Step 3: Cross multiply
   94,614x = 146,496 × 146,496
4. Step 4: Simplify right side
   94,614x = 21,461,078,016
5. Step 5: Solve for x
   x = 21,461,078,016/94,614
6. Step 6: Final answer
   x = 226,827.72