Finding the Third Proportional to 300,142.13 and 457,837.31

Step by Step Solution

1. Step 1: Write the proportion equation
   300,142.13 : 457,837.31 = 457,837.31 : x
2. Step 2: Convert to fraction form
   300,142.13/457,837.31 = 457,837.31/x
3. Step 3: Cross multiply
   300,142.13x = 457,837.31 × 457,837.31
4. Step 4: Simplify right side
   300,142.13x = 209,615,004,717.22
5. Step 5: Solve for x
   x = 209,615,004,717.22/300,142.13
6. Step 6: Final answer
   x = 698,385.82