Finding the Third Proportional to 191,948 and 413,056

Step by Step Solution

1. Step 1: Write the proportion equation
   191,948 : 413,056 = 413,056 : x
2. Step 2: Convert to fraction form
   191,948/413,056 = 413,056/x
3. Step 3: Cross multiply
   191,948x = 413,056 × 413,056
4. Step 4: Simplify right side
   191,948x = 170,615,259,136
5. Step 5: Solve for x
   x = 170,615,259,136/191,948
6. Step 6: Final answer
   x = 888,861.87