Finding the Third Proportional to 126,222 and 270,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,222 : 270,178.50 = 270,178.50 : x
2. Step 2: Convert to fraction form
   126,222/270,178.50 = 270,178.50/x
3. Step 3: Cross multiply
   126,222x = 270,178.50 × 270,178.50
4. Step 4: Simplify right side
   126,222x = 72,996,421,862.25
5. Step 5: Solve for x
   x = 72,996,421,862.25/126,222
6. Step 6: Final answer
   x = 578,317.74