Finding the Third Proportional to 259,690 and 405,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,690 : 405,937.50 = 405,937.50 : x
2. Step 2: Convert to fraction form
   259,690/405,937.50 = 405,937.50/x
3. Step 3: Cross multiply
   259,690x = 405,937.50 × 405,937.50
4. Step 4: Simplify right side
   259,690x = 164,785,253,906.25
5. Step 5: Solve for x
   x = 164,785,253,906.25/259,690
6. Step 6: Final answer
   x = 634,546.01