Finding the Third Proportional to 77,617.50 and 169,764

Step by Step Solution

1. Step 1: Write the proportion equation
   77,617.50 : 169,764 = 169,764 : x
2. Step 2: Convert to fraction form
   77,617.50/169,764 = 169,764/x
3. Step 3: Cross multiply
   77,617.50x = 169,764 × 169,764
4. Step 4: Simplify right side
   77,617.50x = 28,819,815,696
5. Step 5: Solve for x
   x = 28,819,815,696/77,617.50
6. Step 6: Final answer
   x = 371,305.64