Finding the Third Proportional to 78,562 and 169,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,562 : 169,674.50 = 169,674.50 : x
2. Step 2: Convert to fraction form
   78,562/169,674.50 = 169,674.50/x
3. Step 3: Cross multiply
   78,562x = 169,674.50 × 169,674.50
4. Step 4: Simplify right side
   78,562x = 28,789,435,950.25
5. Step 5: Solve for x
   x = 28,789,435,950.25/78,562
6. Step 6: Final answer
   x = 366,454.98