Finding the Third Proportional to 83,918 and 182,056

Step by Step Solution

1. Step 1: Write the proportion equation
   83,918 : 182,056 = 182,056 : x
2. Step 2: Convert to fraction form
   83,918/182,056 = 182,056/x
3. Step 3: Cross multiply
   83,918x = 182,056 × 182,056
4. Step 4: Simplify right side
   83,918x = 33,144,387,136
5. Step 5: Solve for x
   x = 33,144,387,136/83,918
6. Step 6: Final answer
   x = 394,961.60