Finding the Third Proportional to 78,269 and 169,300

Step by Step Solution

1. Step 1: Write the proportion equation
   78,269 : 169,300 = 169,300 : x
2. Step 2: Convert to fraction form
   78,269/169,300 = 169,300/x
3. Step 3: Cross multiply
   78,269x = 169,300 × 169,300
4. Step 4: Simplify right side
   78,269x = 28,662,490,000
5. Step 5: Solve for x
   x = 28,662,490,000/78,269
6. Step 6: Final answer
   x = 366,204.88