Finding the Third Proportional to 127,926 and 200,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,926 : 200,668.50 = 200,668.50 : x
2. Step 2: Convert to fraction form
   127,926/200,668.50 = 200,668.50/x
3. Step 3: Cross multiply
   127,926x = 200,668.50 × 200,668.50
4. Step 4: Simplify right side
   127,926x = 40,267,846,892.25
5. Step 5: Solve for x
   x = 40,267,846,892.25/127,926
6. Step 6: Final answer
   x = 314,774.53