Finding the Third Proportional to 66,564 and 144,790

Step by Step Solution

1. Step 1: Write the proportion equation
   66,564 : 144,790 = 144,790 : x
2. Step 2: Convert to fraction form
   66,564/144,790 = 144,790/x
3. Step 3: Cross multiply
   66,564x = 144,790 × 144,790
4. Step 4: Simplify right side
   66,564x = 20,964,144,100
5. Step 5: Solve for x
   x = 20,964,144,100/66,564
6. Step 6: Final answer
   x = 314,947.18