Finding the Third Proportional to 109,714.50 and 264,809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,714.50 : 264,809.25 = 264,809.25 : x
2. Step 2: Convert to fraction form
   109,714.50/264,809.25 = 264,809.25/x
3. Step 3: Cross multiply
   109,714.50x = 264,809.25 × 264,809.25
4. Step 4: Simplify right side
   109,714.50x = 70,123,938,885.56
5. Step 5: Solve for x
   x = 70,123,938,885.56/109,714.50
6. Step 6: Final answer
   x = 639,149.24