Finding the Third Proportional to 410,185 and 629,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   410,185 : 629,641.50 = 629,641.50 : x
2. Step 2: Convert to fraction form
   410,185/629,641.50 = 629,641.50/x
3. Step 3: Cross multiply
   410,185x = 629,641.50 × 629,641.50
4. Step 4: Simplify right side
   410,185x = 396,448,418,522.25
5. Step 5: Solve for x
   x = 396,448,418,522.25/410,185
6. Step 6: Final answer
   x = 966,511.25