Finding the Third Proportional to 296,784 and 460,343.25

Step by Step Solution

1. Step 1: Write the proportion equation
   296,784 : 460,343.25 = 460,343.25 : x
2. Step 2: Convert to fraction form
   296,784/460,343.25 = 460,343.25/x
3. Step 3: Cross multiply
   296,784x = 460,343.25 × 460,343.25
4. Step 4: Simplify right side
   296,784x = 211,915,907,820.56
5. Step 5: Solve for x
   x = 211,915,907,820.56/296,784
6. Step 6: Final answer
   x = 714,040.88