Finding the Third Proportional to 413,050 and 631,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,050 : 631,447.50 = 631,447.50 : x
2. Step 2: Convert to fraction form
   413,050/631,447.50 = 631,447.50/x
3. Step 3: Cross multiply
   413,050x = 631,447.50 × 631,447.50
4. Step 4: Simplify right side
   413,050x = 398,725,945,256.25
5. Step 5: Solve for x
   x = 398,725,945,256.25/413,050
6. Step 6: Final answer
   x = 965,321.26