Finding the Third Proportional to 380,530.13 and 585,100.69

Step by Step Solution

1. Step 1: Write the proportion equation
   380,530.13 : 585,100.69 = 585,100.69 : x
2. Step 2: Convert to fraction form
   380,530.13/585,100.69 = 585,100.69/x
3. Step 3: Cross multiply
   380,530.13x = 585,100.69 × 585,100.69
4. Step 4: Simplify right side
   380,530.13x = 342,342,814,512.97
5. Step 5: Solve for x
   x = 342,342,814,512.97/380,530.13
6. Step 6: Final answer
   x = 899,647.08