Finding the Third Proportional to 461,916 and 733,560.75

Step by Step Solution

1. Step 1: Write the proportion equation
   461,916 : 733,560.75 = 733,560.75 : x
2. Step 2: Convert to fraction form
   461,916/733,560.75 = 733,560.75/x
3. Step 3: Cross multiply
   461,916x = 733,560.75 × 733,560.75
4. Step 4: Simplify right side
   461,916x = 538,111,373,940.56
5. Step 5: Solve for x
   x = 538,111,373,940.56/461,916
6. Step 6: Final answer
   x = 1,164,955.04