Finding the Third Proportional to 259,377 and 389,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,377 : 389,065.50 = 389,065.50 : x
2. Step 2: Convert to fraction form
   259,377/389,065.50 = 389,065.50/x
3. Step 3: Cross multiply
   259,377x = 389,065.50 × 389,065.50
4. Step 4: Simplify right side
   259,377x = 151,371,963,290.25
5. Step 5: Solve for x
   x = 151,371,963,290.25/259,377
6. Step 6: Final answer
   x = 583,598.25