Finding the Third Proportional to 402,403.50 and 581,886

Step by Step Solution

1. Step 1: Write the proportion equation
   402,403.50 : 581,886 = 581,886 : x
2. Step 2: Convert to fraction form
   402,403.50/581,886 = 581,886/x
3. Step 3: Cross multiply
   402,403.50x = 581,886 × 581,886
4. Step 4: Simplify right side
   402,403.50x = 338,591,316,996
5. Step 5: Solve for x
   x = 338,591,316,996/402,403.50
6. Step 6: Final answer
   x = 841,422.40