Finding the Third Proportional to 200,761 and 293,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,761 : 293,595.50 = 293,595.50 : x
2. Step 2: Convert to fraction form
   200,761/293,595.50 = 293,595.50/x
3. Step 3: Cross multiply
   200,761x = 293,595.50 × 293,595.50
4. Step 4: Simplify right side
   200,761x = 86,198,317,620.25
5. Step 5: Solve for x
   x = 86,198,317,620.25/200,761
6. Step 6: Final answer
   x = 429,357.88