Finding the Third Proportional to 80,112 and 185,454

Step by Step Solution

1. Step 1: Write the proportion equation
   80,112 : 185,454 = 185,454 : x
2. Step 2: Convert to fraction form
   80,112/185,454 = 185,454/x
3. Step 3: Cross multiply
   80,112x = 185,454 × 185,454
4. Step 4: Simplify right side
   80,112x = 34,393,186,116
5. Step 5: Solve for x
   x = 34,393,186,116/80,112
6. Step 6: Final answer
   x = 429,313.79