Finding the Third Proportional to 729,996 and 976,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   729,996 : 976,477.50 = 976,477.50 : x
2. Step 2: Convert to fraction form
   729,996/976,477.50 = 976,477.50/x
3. Step 3: Cross multiply
   729,996x = 976,477.50 × 976,477.50
4. Step 4: Simplify right side
   729,996x = 953,508,308,006.25
5. Step 5: Solve for x
   x = 953,508,308,006.25/729,996
6. Step 6: Final answer
   x = 1,306,182.92