Finding the Third Proportional to 78,426 and 169,380

Step by Step Solution

1. Step 1: Write the proportion equation
   78,426 : 169,380 = 169,380 : x
2. Step 2: Convert to fraction form
   78,426/169,380 = 169,380/x
3. Step 3: Cross multiply
   78,426x = 169,380 × 169,380
4. Step 4: Simplify right side
   78,426x = 28,689,584,400
5. Step 5: Solve for x
   x = 28,689,584,400/78,426
6. Step 6: Final answer
   x = 365,817.26