Finding the Third Proportional to 380,403 and 566,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,403 : 566,959.50 = 566,959.50 : x
2. Step 2: Convert to fraction form
   380,403/566,959.50 = 566,959.50/x
3. Step 3: Cross multiply
   380,403x = 566,959.50 × 566,959.50
4. Step 4: Simplify right side
   380,403x = 321,443,074,640.25
5. Step 5: Solve for x
   x = 321,443,074,640.25/380,403
6. Step 6: Final answer
   x = 845,006.68