Finding the Third Proportional to 94,566 and 146,628

Step by Step Solution

1. Step 1: Write the proportion equation
   94,566 : 146,628 = 146,628 : x
2. Step 2: Convert to fraction form
   94,566/146,628 = 146,628/x
3. Step 3: Cross multiply
   94,566x = 146,628 × 146,628
4. Step 4: Simplify right side
   94,566x = 21,499,770,384
5. Step 5: Solve for x
   x = 21,499,770,384/94,566
6. Step 6: Final answer
   x = 227,352.01