Finding the Third Proportional to 259,755 and 389,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,755 : 389,641.50 = 389,641.50 : x
2. Step 2: Convert to fraction form
   259,755/389,641.50 = 389,641.50/x
3. Step 3: Cross multiply
   259,755x = 389,641.50 × 389,641.50
4. Step 4: Simplify right side
   259,755x = 151,820,498,522.25
5. Step 5: Solve for x
   x = 151,820,498,522.25/259,755
6. Step 6: Final answer
   x = 584,475.75