Finding the Third Proportional to 272,942 and 401,610

Step by Step Solution

1. Step 1: Write the proportion equation
   272,942 : 401,610 = 401,610 : x
2. Step 2: Convert to fraction form
   272,942/401,610 = 401,610/x
3. Step 3: Cross multiply
   272,942x = 401,610 × 401,610
4. Step 4: Simplify right side
   272,942x = 161,290,592,100
5. Step 5: Solve for x
   x = 161,290,592,100/272,942
6. Step 6: Final answer
   x = 590,933.58