Finding the Third Proportional to 402,829.50 and 877,533

Step by Step Solution

1. Step 1: Write the proportion equation
   402,829.50 : 877,533 = 877,533 : x
2. Step 2: Convert to fraction form
   402,829.50/877,533 = 877,533/x
3. Step 3: Cross multiply
   402,829.50x = 877,533 × 877,533
4. Step 4: Simplify right side
   402,829.50x = 770,064,166,089
5. Step 5: Solve for x
   x = 770,064,166,089/402,829.50
6. Step 6: Final answer
   x = 1,911,637.97