Finding the Third Proportional to 510,889.50 and 773,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,889.50 : 773,410.50 = 773,410.50 : x
2. Step 2: Convert to fraction form
   510,889.50/773,410.50 = 773,410.50/x
3. Step 3: Cross multiply
   510,889.50x = 773,410.50 × 773,410.50
4. Step 4: Simplify right side
   510,889.50x = 598,163,801,510.25
5. Step 5: Solve for x
   x = 598,163,801,510.25/510,889.50
6. Step 6: Final answer
   x = 1,170,828.14