Finding the Third Proportional to 80,116 and 185,464

Step by Step Solution

1. Step 1: Write the proportion equation
   80,116 : 185,464 = 185,464 : x
2. Step 2: Convert to fraction form
   80,116/185,464 = 185,464/x
3. Step 3: Cross multiply
   80,116x = 185,464 × 185,464
4. Step 4: Simplify right side
   80,116x = 34,396,895,296
5. Step 5: Solve for x
   x = 34,396,895,296/80,116
6. Step 6: Final answer
   x = 429,338.65