Finding the Third Proportional to 259,767 and 414,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,767 : 414,967.50 = 414,967.50 : x
2. Step 2: Convert to fraction form
   259,767/414,967.50 = 414,967.50/x
3. Step 3: Cross multiply
   259,767x = 414,967.50 × 414,967.50
4. Step 4: Simplify right side
   259,767x = 172,198,026,056.25
5. Step 5: Solve for x
   x = 172,198,026,056.25/259,767
6. Step 6: Final answer
   x = 662,894.16