Finding the Third Proportional to 78,044 and 165,810

Step by Step Solution

1. Step 1: Write the proportion equation
   78,044 : 165,810 = 165,810 : x
2. Step 2: Convert to fraction form
   78,044/165,810 = 165,810/x
3. Step 3: Cross multiply
   78,044x = 165,810 × 165,810
4. Step 4: Simplify right side
   78,044x = 27,492,956,100
5. Step 5: Solve for x
   x = 27,492,956,100/78,044
6. Step 6: Final answer
   x = 352,275.08