Finding the Third Proportional to 432,144 and 654,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   432,144 : 654,178.50 = 654,178.50 : x
2. Step 2: Convert to fraction form
   432,144/654,178.50 = 654,178.50/x
3. Step 3: Cross multiply
   432,144x = 654,178.50 × 654,178.50
4. Step 4: Simplify right side
   432,144x = 427,949,509,862.25
5. Step 5: Solve for x
   x = 427,949,509,862.25/432,144
6. Step 6: Final answer
   x = 990,293.77