Finding the Third Proportional to 413,543.50 and 900,661

Step by Step Solution

1. Step 1: Write the proportion equation
   413,543.50 : 900,661 = 900,661 : x
2. Step 2: Convert to fraction form
   413,543.50/900,661 = 900,661/x
3. Step 3: Cross multiply
   413,543.50x = 900,661 × 900,661
4. Step 4: Simplify right side
   413,543.50x = 811,190,236,921
5. Step 5: Solve for x
   x = 811,190,236,921/413,543.50
6. Step 6: Final answer
   x = 1,961,559.64