Finding the Third Proportional to 200,565 and 294,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,565 : 294,853.50 = 294,853.50 : x
2. Step 2: Convert to fraction form
   200,565/294,853.50 = 294,853.50/x
3. Step 3: Cross multiply
   200,565x = 294,853.50 × 294,853.50
4. Step 4: Simplify right side
   200,565x = 86,938,586,462.25
5. Step 5: Solve for x
   x = 86,938,586,462.25/200,565
6. Step 6: Final answer
   x = 433,468.38