Finding the Third Proportional to 78,069 and 169,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,069 : 169,165.50 = 169,165.50 : x
2. Step 2: Convert to fraction form
   78,069/169,165.50 = 169,165.50/x
3. Step 3: Cross multiply
   78,069x = 169,165.50 × 169,165.50
4. Step 4: Simplify right side
   78,069x = 28,616,966,390.25
5. Step 5: Solve for x
   x = 28,616,966,390.25/78,069
6. Step 6: Final answer
   x = 366,559.92