Finding the Third Proportional to 456,993 and 729,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,993 : 729,769.50 = 729,769.50 : x
2. Step 2: Convert to fraction form
   456,993/729,769.50 = 729,769.50/x
3. Step 3: Cross multiply
   456,993x = 729,769.50 × 729,769.50
4. Step 4: Simplify right side
   456,993x = 532,563,523,130.25
5. Step 5: Solve for x
   x = 532,563,523,130.25/456,993
6. Step 6: Final answer
   x = 1,165,364.73