Finding the Third Proportional to 105,279.75 and 224,557.31

Step by Step Solution

1. Step 1: Write the proportion equation
   105,279.75 : 224,557.31 = 224,557.31 : x
2. Step 2: Convert to fraction form
   105,279.75/224,557.31 = 224,557.31/x
3. Step 3: Cross multiply
   105,279.75x = 224,557.31 × 224,557.31
4. Step 4: Simplify right side
   105,279.75x = 50,425,986,597.22
5. Step 5: Solve for x
   x = 50,425,986,597.22/105,279.75
6. Step 6: Final answer
   x = 478,971.37