Finding the Third Proportional to 146,136 and 314,108

Step by Step Solution

1. Step 1: Write the proportion equation
   146,136 : 314,108 = 314,108 : x
2. Step 2: Convert to fraction form
   146,136/314,108 = 314,108/x
3. Step 3: Cross multiply
   146,136x = 314,108 × 314,108
4. Step 4: Simplify right side
   146,136x = 98,663,835,664
5. Step 5: Solve for x
   x = 98,663,835,664/146,136
6. Step 6: Final answer
   x = 675,150.79