Finding the Third Proportional to 85,588 and 123,282

Step by Step Solution

1. Step 1: Write the proportion equation
   85,588 : 123,282 = 123,282 : x
2. Step 2: Convert to fraction form
   85,588/123,282 = 123,282/x
3. Step 3: Cross multiply
   85,588x = 123,282 × 123,282
4. Step 4: Simplify right side
   85,588x = 15,198,451,524
5. Step 5: Solve for x
   x = 15,198,451,524/85,588
6. Step 6: Final answer
   x = 177,576.90