Finding the Third Proportional to 80,119 and 185,470

Step by Step Solution

1. Step 1: Write the proportion equation
   80,119 : 185,470 = 185,470 : x
2. Step 2: Convert to fraction form
   80,119/185,470 = 185,470/x
3. Step 3: Cross multiply
   80,119x = 185,470 × 185,470
4. Step 4: Simplify right side
   80,119x = 34,399,120,900
5. Step 5: Solve for x
   x = 34,399,120,900/80,119
6. Step 6: Final answer
   x = 429,350.35