Finding the Third Proportional to 288,066.38 and 414,969.33

Step by Step Solution

1. Step 1: Write the proportion equation
   288,066.38 : 414,969.33 = 414,969.33 : x
2. Step 2: Convert to fraction form
   288,066.38/414,969.33 = 414,969.33/x
3. Step 3: Cross multiply
   288,066.38x = 414,969.33 × 414,969.33
4. Step 4: Simplify right side
   288,066.38x = 172,199,543,284.51
5. Step 5: Solve for x
   x = 172,199,543,284.51/288,066.38
6. Step 6: Final answer
   x = 597,777.31