Finding the Third Proportional to 69,383 and 147,406

Step by Step Solution

1. Step 1: Write the proportion equation
   69,383 : 147,406 = 147,406 : x
2. Step 2: Convert to fraction form
   69,383/147,406 = 147,406/x
3. Step 3: Cross multiply
   69,383x = 147,406 × 147,406
4. Step 4: Simplify right side
   69,383x = 21,728,528,836
5. Step 5: Solve for x
   x = 21,728,528,836/69,383
6. Step 6: Final answer
   x = 313,167.91