Finding the Third Proportional to 295,681.50 and 463,302

Step by Step Solution

1. Step 1: Write the proportion equation
   295,681.50 : 463,302 = 463,302 : x
2. Step 2: Convert to fraction form
   295,681.50/463,302 = 463,302/x
3. Step 3: Cross multiply
   295,681.50x = 463,302 × 463,302
4. Step 4: Simplify right side
   295,681.50x = 214,648,743,204
5. Step 5: Solve for x
   x = 214,648,743,204/295,681.50
6. Step 6: Final answer
   x = 725,945.80