Finding the Third Proportional to 295,676 and 463,294.75

Step by Step Solution

1. Step 1: Write the proportion equation
   295,676 : 463,294.75 = 463,294.75 : x
2. Step 2: Convert to fraction form
   295,676/463,294.75 = 463,294.75/x
3. Step 3: Cross multiply
   295,676x = 463,294.75 × 463,294.75
4. Step 4: Simplify right side
   295,676x = 214,642,025,377.56
5. Step 5: Solve for x
   x = 214,642,025,377.56/295,676
6. Step 6: Final answer
   x = 725,936.58