Finding the Third Proportional to 200,565 and 266,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,565 : 266,233.50 = 266,233.50 : x
2. Step 2: Convert to fraction form
   200,565/266,233.50 = 266,233.50/x
3. Step 3: Cross multiply
   200,565x = 266,233.50 × 266,233.50
4. Step 4: Simplify right side
   200,565x = 70,880,276,522.25
5. Step 5: Solve for x
   x = 70,880,276,522.25/200,565
6. Step 6: Final answer
   x = 353,403.02