Finding the Third Proportional to 138,204 and 290,333.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,204 : 290,333.25 = 290,333.25 : x
2. Step 2: Convert to fraction form
   138,204/290,333.25 = 290,333.25/x
3. Step 3: Cross multiply
   138,204x = 290,333.25 × 290,333.25
4. Step 4: Simplify right side
   138,204x = 84,293,396,055.56
5. Step 5: Solve for x
   x = 84,293,396,055.56/138,204
6. Step 6: Final answer
   x = 609,920.09