Finding the Third Proportional to 80,122 and 185,478

Step by Step Solution

1. Step 1: Write the proportion equation
   80,122 : 185,478 = 185,478 : x
2. Step 2: Convert to fraction form
   80,122/185,478 = 185,478/x
3. Step 3: Cross multiply
   80,122x = 185,478 × 185,478
4. Step 4: Simplify right side
   80,122x = 34,402,088,484
5. Step 5: Solve for x
   x = 34,402,088,484/80,122
6. Step 6: Final answer
   x = 429,371.31