Finding the Third Proportional to 127,818 and 200,070

Step by Step Solution

1. Step 1: Write the proportion equation
   127,818 : 200,070 = 200,070 : x
2. Step 2: Convert to fraction form
   127,818/200,070 = 200,070/x
3. Step 3: Cross multiply
   127,818x = 200,070 × 200,070
4. Step 4: Simplify right side
   127,818x = 40,028,004,900
5. Step 5: Solve for x
   x = 40,028,004,900/127,818
6. Step 6: Final answer
   x = 313,164.07