Finding the Third Proportional to 77,661 and 169,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,661 : 169,861.50 = 169,861.50 : x
2. Step 2: Convert to fraction form
   77,661/169,861.50 = 169,861.50/x
3. Step 3: Cross multiply
   77,661x = 169,861.50 × 169,861.50
4. Step 4: Simplify right side
   77,661x = 28,852,929,182.25
5. Step 5: Solve for x
   x = 28,852,929,182.25/77,661
6. Step 6: Final answer
   x = 371,524.05