Finding the Third Proportional to 78,218 and 165,042

Step by Step Solution

1. Step 1: Write the proportion equation
   78,218 : 165,042 = 165,042 : x
2. Step 2: Convert to fraction form
   78,218/165,042 = 165,042/x
3. Step 3: Cross multiply
   78,218x = 165,042 × 165,042
4. Step 4: Simplify right side
   78,218x = 27,238,861,764
5. Step 5: Solve for x
   x = 27,238,861,764/78,218
6. Step 6: Final answer
   x = 348,242.88