Finding the Third Proportional to 142,840 and 204,056

Step by Step Solution

1. Step 1: Write the proportion equation
   142,840 : 204,056 = 204,056 : x
2. Step 2: Convert to fraction form
   142,840/204,056 = 204,056/x
3. Step 3: Cross multiply
   142,840x = 204,056 × 204,056
4. Step 4: Simplify right side
   142,840x = 41,638,851,136
5. Step 5: Solve for x
   x = 41,638,851,136/142,840
6. Step 6: Final answer
   x = 291,506.94