Finding the Third Proportional to 85,590 and 123,285

Step by Step Solution

1. Step 1: Write the proportion equation
   85,590 : 123,285 = 123,285 : x
2. Step 2: Convert to fraction form
   85,590/123,285 = 123,285/x
3. Step 3: Cross multiply
   85,590x = 123,285 × 123,285
4. Step 4: Simplify right side
   85,590x = 15,199,191,225
5. Step 5: Solve for x
   x = 15,199,191,225/85,590
6. Step 6: Final answer
   x = 177,581.39