Finding the Third Proportional to 200,870 and 272,500

Step by Step Solution

1. Step 1: Write the proportion equation
   200,870 : 272,500 = 272,500 : x
2. Step 2: Convert to fraction form
   200,870/272,500 = 272,500/x
3. Step 3: Cross multiply
   200,870x = 272,500 × 272,500
4. Step 4: Simplify right side
   200,870x = 74,256,250,000
5. Step 5: Solve for x
   x = 74,256,250,000/200,870
6. Step 6: Final answer
   x = 369,673.17