Finding the Third Proportional to 200,946 and 272,910

Step by Step Solution

1. Step 1: Write the proportion equation
   200,946 : 272,910 = 272,910 : x
2. Step 2: Convert to fraction form
   200,946/272,910 = 272,910/x
3. Step 3: Cross multiply
   200,946x = 272,910 × 272,910
4. Step 4: Simplify right side
   200,946x = 74,479,868,100
5. Step 5: Solve for x
   x = 74,479,868,100/200,946
6. Step 6: Final answer
   x = 370,646.18