Finding the Third Proportional to 159,984 and 243,216

Step by Step Solution

1. Step 1: Write the proportion equation
   159,984 : 243,216 = 243,216 : x
2. Step 2: Convert to fraction form
   159,984/243,216 = 243,216/x
3. Step 3: Cross multiply
   159,984x = 243,216 × 243,216
4. Step 4: Simplify right side
   159,984x = 59,154,022,656
5. Step 5: Solve for x
   x = 59,154,022,656/159,984
6. Step 6: Final answer
   x = 369,749.62