Finding the Third Proportional to 380,541 and 500,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,541 : 500,503.50 = 500,503.50 : x
2. Step 2: Convert to fraction form
   380,541/500,503.50 = 500,503.50/x
3. Step 3: Cross multiply
   380,541x = 500,503.50 × 500,503.50
4. Step 4: Simplify right side
   380,541x = 250,503,753,512.25
5. Step 5: Solve for x
   x = 250,503,753,512.25/380,541
6. Step 6: Final answer
   x = 658,283.22