Finding the Third Proportional to 144,154 and 215,654

Step by Step Solution

1. Step 1: Write the proportion equation
   144,154 : 215,654 = 215,654 : x
2. Step 2: Convert to fraction form
   144,154/215,654 = 215,654/x
3. Step 3: Cross multiply
   144,154x = 215,654 × 215,654
4. Step 4: Simplify right side
   144,154x = 46,506,647,716
5. Step 5: Solve for x
   x = 46,506,647,716/144,154
6. Step 6: Final answer
   x = 322,617.81