Finding the Third Proportional to 378,149 and 585,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,149 : 585,457.50 = 585,457.50 : x
2. Step 2: Convert to fraction form
   378,149/585,457.50 = 585,457.50/x
3. Step 3: Cross multiply
   378,149x = 585,457.50 × 585,457.50
4. Step 4: Simplify right side
   378,149x = 342,760,484,306.25
5. Step 5: Solve for x
   x = 342,760,484,306.25/378,149
6. Step 6: Final answer
   x = 906,416.48