Finding the Third Proportional to 432,144 and 654,180

Step by Step Solution

1. Step 1: Write the proportion equation
   432,144 : 654,180 = 654,180 : x
2. Step 2: Convert to fraction form
   432,144/654,180 = 654,180/x
3. Step 3: Cross multiply
   432,144x = 654,180 × 654,180
4. Step 4: Simplify right side
   432,144x = 427,951,472,400
5. Step 5: Solve for x
   x = 427,951,472,400/432,144
6. Step 6: Final answer
   x = 990,298.31