Finding the Third Proportional to 100,314 and 222,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,314 : 222,771.50 = 222,771.50 : x
2. Step 2: Convert to fraction form
   100,314/222,771.50 = 222,771.50/x
3. Step 3: Cross multiply
   100,314x = 222,771.50 × 222,771.50
4. Step 4: Simplify right side
   100,314x = 49,627,141,212.25
5. Step 5: Solve for x
   x = 49,627,141,212.25/100,314
6. Step 6: Final answer
   x = 494,718.00