Finding the Third Proportional to 386,498.25 and 556,679.25

Step by Step Solution

1. Step 1: Write the proportion equation
   386,498.25 : 556,679.25 = 556,679.25 : x
2. Step 2: Convert to fraction form
   386,498.25/556,679.25 = 556,679.25/x
3. Step 3: Cross multiply
   386,498.25x = 556,679.25 × 556,679.25
4. Step 4: Simplify right side
   386,498.25x = 309,891,787,380.56
5. Step 5: Solve for x
   x = 309,891,787,380.56/386,498.25
6. Step 6: Final answer
   x = 801,793.51