Finding the Third Proportional to 768,528 and 1,155,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   768,528 : 1,155,262.50 = 1,155,262.50 : x
2. Step 2: Convert to fraction form
   768,528/1,155,262.50 = 1,155,262.50/x
3. Step 3: Cross multiply
   768,528x = 1,155,262.50 × 1,155,262.50
4. Step 4: Simplify right side
   768,528x = 1,334,631,443,906.25
5. Step 5: Solve for x
   x = 1,334,631,443,906.25/768,528
6. Step 6: Final answer
   x = 1,736,607.44