Finding the Third Proportional to 140,644 and 302,056

Step by Step Solution

1. Step 1: Write the proportion equation
   140,644 : 302,056 = 302,056 : x
2. Step 2: Convert to fraction form
   140,644/302,056 = 302,056/x
3. Step 3: Cross multiply
   140,644x = 302,056 × 302,056
4. Step 4: Simplify right side
   140,644x = 91,237,827,136
5. Step 5: Solve for x
   x = 91,237,827,136/140,644
6. Step 6: Final answer
   x = 648,714.68