Finding the Third Proportional to 55,684 and 80,454

Step by Step Solution

1. Step 1: Write the proportion equation
   55,684 : 80,454 = 80,454 : x
2. Step 2: Convert to fraction form
   55,684/80,454 = 80,454/x
3. Step 3: Cross multiply
   55,684x = 80,454 × 80,454
4. Step 4: Simplify right side
   55,684x = 6,472,846,116
5. Step 5: Solve for x
   x = 6,472,846,116/55,684
6. Step 6: Final answer
   x = 116,242.48