Finding the Third Proportional to 278,046 and 422,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,046 : 422,401.50 = 422,401.50 : x
2. Step 2: Convert to fraction form
   278,046/422,401.50 = 422,401.50/x
3. Step 3: Cross multiply
   278,046x = 422,401.50 × 422,401.50
4. Step 4: Simplify right side
   278,046x = 178,423,027,202.25
5. Step 5: Solve for x
   x = 178,423,027,202.25/278,046
6. Step 6: Final answer
   x = 641,703.27