Finding the Third Proportional to 146,136 and 314,109

Step by Step Solution

1. Step 1: Write the proportion equation
   146,136 : 314,109 = 314,109 : x
2. Step 2: Convert to fraction form
   146,136/314,109 = 314,109/x
3. Step 3: Cross multiply
   146,136x = 314,109 × 314,109
4. Step 4: Simplify right side
   146,136x = 98,664,463,881
5. Step 5: Solve for x
   x = 98,664,463,881/146,136
6. Step 6: Final answer
   x = 675,155.09