Finding the Third Proportional to 145,144 and 307,906

Step by Step Solution

1. Step 1: Write the proportion equation
   145,144 : 307,906 = 307,906 : x
2. Step 2: Convert to fraction form
   145,144/307,906 = 307,906/x
3. Step 3: Cross multiply
   145,144x = 307,906 × 307,906
4. Step 4: Simplify right side
   145,144x = 94,806,104,836
5. Step 5: Solve for x
   x = 94,806,104,836/145,144
6. Step 6: Final answer
   x = 653,186.52