Finding the Third Proportional to 78,574.50 and 169,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,574.50 : 169,699.50 = 169,699.50 : x
2. Step 2: Convert to fraction form
   78,574.50/169,699.50 = 169,699.50/x
3. Step 3: Cross multiply
   78,574.50x = 169,699.50 × 169,699.50
4. Step 4: Simplify right side
   78,574.50x = 28,797,920,300.25
5. Step 5: Solve for x
   x = 28,797,920,300.25/78,574.50
6. Step 6: Final answer
   x = 366,504.66