Finding the Third Proportional to 103,694 and 165,076

Step by Step Solution

1. Step 1: Write the proportion equation
   103,694 : 165,076 = 165,076 : x
2. Step 2: Convert to fraction form
   103,694/165,076 = 165,076/x
3. Step 3: Cross multiply
   103,694x = 165,076 × 165,076
4. Step 4: Simplify right side
   103,694x = 27,250,085,776
5. Step 5: Solve for x
   x = 27,250,085,776/103,694
6. Step 6: Final answer
   x = 262,793.27