Finding the Third Proportional to 77,746.50 and 161,028

Step by Step Solution

1. Step 1: Write the proportion equation
   77,746.50 : 161,028 = 161,028 : x
2. Step 2: Convert to fraction form
   77,746.50/161,028 = 161,028/x
3. Step 3: Cross multiply
   77,746.50x = 161,028 × 161,028
4. Step 4: Simplify right side
   77,746.50x = 25,930,016,784
5. Step 5: Solve for x
   x = 25,930,016,784/77,746.50
6. Step 6: Final answer
   x = 333,520.05