Finding the Third Proportional to 270,422 and 391,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,422 : 391,680.50 = 391,680.50 : x
2. Step 2: Convert to fraction form
   270,422/391,680.50 = 391,680.50/x
3. Step 3: Cross multiply
   270,422x = 391,680.50 × 391,680.50
4. Step 4: Simplify right side
   270,422x = 153,413,614,080.25
5. Step 5: Solve for x
   x = 153,413,614,080.25/270,422
6. Step 6: Final answer
   x = 567,311.88