Finding the Third Proportional to 78,377 and 169,144

Step by Step Solution

1. Step 1: Write the proportion equation
   78,377 : 169,144 = 169,144 : x
2. Step 2: Convert to fraction form
   78,377/169,144 = 169,144/x
3. Step 3: Cross multiply
   78,377x = 169,144 × 169,144
4. Step 4: Simplify right side
   78,377x = 28,609,692,736
5. Step 5: Solve for x
   x = 28,609,692,736/78,377
6. Step 6: Final answer
   x = 365,026.64