Finding the Third Proportional to 295,674 and 463,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,674 : 463,291.50 = 463,291.50 : x
2. Step 2: Convert to fraction form
   295,674/463,291.50 = 463,291.50/x
3. Step 3: Cross multiply
   295,674x = 463,291.50 × 463,291.50
4. Step 4: Simplify right side
   295,674x = 214,639,013,972.25
5. Step 5: Solve for x
   x = 214,639,013,972.25/295,674
6. Step 6: Final answer
   x = 725,931.31