Finding the Third Proportional to 260,941 and 404,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,941 : 404,037.50 = 404,037.50 : x
2. Step 2: Convert to fraction form
   260,941/404,037.50 = 404,037.50/x
3. Step 3: Cross multiply
   260,941x = 404,037.50 × 404,037.50
4. Step 4: Simplify right side
   260,941x = 163,246,301,406.25
5. Step 5: Solve for x
   x = 163,246,301,406.25/260,941
6. Step 6: Final answer
   x = 625,606.18