Finding the Third Proportional to 78,414 and 164,118

Step by Step Solution

1. Step 1: Write the proportion equation
   78,414 : 164,118 = 164,118 : x
2. Step 2: Convert to fraction form
   78,414/164,118 = 164,118/x
3. Step 3: Cross multiply
   78,414x = 164,118 × 164,118
4. Step 4: Simplify right side
   78,414x = 26,934,717,924
5. Step 5: Solve for x
   x = 26,934,717,924/78,414
6. Step 6: Final answer
   x = 343,493.74