Finding the Third Proportional to 78,669 and 169,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,669 : 169,777.50 = 169,777.50 : x
2. Step 2: Convert to fraction form
   78,669/169,777.50 = 169,777.50/x
3. Step 3: Cross multiply
   78,669x = 169,777.50 × 169,777.50
4. Step 4: Simplify right side
   78,669x = 28,824,399,506.25
5. Step 5: Solve for x
   x = 28,824,399,506.25/78,669
6. Step 6: Final answer
   x = 366,400.99