Finding the Third Proportional to 200,733 and 293,561.25

Step by Step Solution

1. Step 1: Write the proportion equation
   200,733 : 293,561.25 = 293,561.25 : x
2. Step 2: Convert to fraction form
   200,733/293,561.25 = 293,561.25/x
3. Step 3: Cross multiply
   200,733x = 293,561.25 × 293,561.25
4. Step 4: Simplify right side
   200,733x = 86,178,207,501.56
5. Step 5: Solve for x
   x = 86,178,207,501.56/200,733
6. Step 6: Final answer
   x = 429,317.59