Finding the Third Proportional to 144,116 and 215,598

Step by Step Solution

1. Step 1: Write the proportion equation
   144,116 : 215,598 = 215,598 : x
2. Step 2: Convert to fraction form
   144,116/215,598 = 215,598/x
3. Step 3: Cross multiply
   144,116x = 215,598 × 215,598
4. Step 4: Simplify right side
   144,116x = 46,482,497,604
5. Step 5: Solve for x
   x = 46,482,497,604/144,116
6. Step 6: Final answer
   x = 322,535.30