Finding the Third Proportional to 378,124 and 585,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,124 : 585,775.50 = 585,775.50 : x
2. Step 2: Convert to fraction form
   378,124/585,775.50 = 585,775.50/x
3. Step 3: Cross multiply
   378,124x = 585,775.50 × 585,775.50
4. Step 4: Simplify right side
   378,124x = 343,132,936,400.25
5. Step 5: Solve for x
   x = 343,132,936,400.25/378,124
6. Step 6: Final answer
   x = 907,461.41