Finding the Third Proportional to 328,779 and 507,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   328,779 : 507,019.50 = 507,019.50 : x
2. Step 2: Convert to fraction form
   328,779/507,019.50 = 507,019.50/x
3. Step 3: Cross multiply
   328,779x = 507,019.50 × 507,019.50
4. Step 4: Simplify right side
   328,779x = 257,068,773,380.25
5. Step 5: Solve for x
   x = 257,068,773,380.25/328,779
6. Step 6: Final answer
   x = 781,889.27