Finding the Third Proportional to 224,579 and 337,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,579 : 337,779.50 = 337,779.50 : x
2. Step 2: Convert to fraction form
   224,579/337,779.50 = 337,779.50/x
3. Step 3: Cross multiply
   224,579x = 337,779.50 × 337,779.50
4. Step 4: Simplify right side
   224,579x = 114,094,990,620.25
5. Step 5: Solve for x
   x = 114,094,990,620.25/224,579
6. Step 6: Final answer
   x = 508,039.45