Finding the Third Proportional to 78,761 and 169,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,761 : 169,965.50 = 169,965.50 : x
2. Step 2: Convert to fraction form
   78,761/169,965.50 = 169,965.50/x
3. Step 3: Cross multiply
   78,761x = 169,965.50 × 169,965.50
4. Step 4: Simplify right side
   78,761x = 28,888,271,190.25
5. Step 5: Solve for x
   x = 28,888,271,190.25/78,761
6. Step 6: Final answer
   x = 366,783.96