Finding the Third Proportional to 733,741.50 and 978,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   733,741.50 : 978,412.50 = 978,412.50 : x
2. Step 2: Convert to fraction form
   733,741.50/978,412.50 = 978,412.50/x
3. Step 3: Cross multiply
   733,741.50x = 978,412.50 × 978,412.50
4. Step 4: Simplify right side
   733,741.50x = 957,291,020,156.25
5. Step 5: Solve for x
   x = 957,291,020,156.25/733,741.50
6. Step 6: Final answer
   x = 1,304,670.68