Finding the Third Proportional to 146,114 and 311,056

Step by Step Solution

1. Step 1: Write the proportion equation
   146,114 : 311,056 = 311,056 : x
2. Step 2: Convert to fraction form
   146,114/311,056 = 311,056/x
3. Step 3: Cross multiply
   146,114x = 311,056 × 311,056
4. Step 4: Simplify right side
   146,114x = 96,755,835,136
5. Step 5: Solve for x
   x = 96,755,835,136/146,114
6. Step 6: Final answer
   x = 662,194.14