Finding the Third Proportional to 282,028.50 and 407,484

Step by Step Solution

1. Step 1: Write the proportion equation
   282,028.50 : 407,484 = 407,484 : x
2. Step 2: Convert to fraction form
   282,028.50/407,484 = 407,484/x
3. Step 3: Cross multiply
   282,028.50x = 407,484 × 407,484
4. Step 4: Simplify right side
   282,028.50x = 166,043,210,256
5. Step 5: Solve for x
   x = 166,043,210,256/282,028.50
6. Step 6: Final answer
   x = 588,746.21