Finding the Third Proportional to 259,384.50 and 389,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,384.50 : 389,077.50 = 389,077.50 : x
2. Step 2: Convert to fraction form
   259,384.50/389,077.50 = 389,077.50/x
3. Step 3: Cross multiply
   259,384.50x = 389,077.50 × 389,077.50
4. Step 4: Simplify right side
   259,384.50x = 151,381,301,006.25
5. Step 5: Solve for x
   x = 151,381,301,006.25/259,384.50
6. Step 6: Final answer
   x = 583,617.38