Finding the Third Proportional to 127,964 and 200,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,964 : 200,719.50 = 200,719.50 : x
2. Step 2: Convert to fraction form
   127,964/200,719.50 = 200,719.50/x
3. Step 3: Cross multiply
   127,964x = 200,719.50 × 200,719.50
4. Step 4: Simplify right side
   127,964x = 40,288,317,680.25
5. Step 5: Solve for x
   x = 40,288,317,680.25/127,964
6. Step 6: Final answer
   x = 314,841.03