Finding the Third Proportional to 259,461 and 389,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,461 : 389,191.50 = 389,191.50 : x
2. Step 2: Convert to fraction form
   259,461/389,191.50 = 389,191.50/x
3. Step 3: Cross multiply
   259,461x = 389,191.50 × 389,191.50
4. Step 4: Simplify right side
   259,461x = 151,470,023,672.25
5. Step 5: Solve for x
   x = 151,470,023,672.25/259,461
6. Step 6: Final answer
   x = 583,787.25