Finding the Third Proportional to 103,309.50 and 222,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,309.50 : 222,373.50 = 222,373.50 : x
2. Step 2: Convert to fraction form
   103,309.50/222,373.50 = 222,373.50/x
3. Step 3: Cross multiply
   103,309.50x = 222,373.50 × 222,373.50
4. Step 4: Simplify right side
   103,309.50x = 49,449,973,502.25
5. Step 5: Solve for x
   x = 49,449,973,502.25/103,309.50
6. Step 6: Final answer
   x = 478,658.53