Finding the Third Proportional to 214,466 and 423,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,466 : 423,549.50 = 423,549.50 : x
2. Step 2: Convert to fraction form
   214,466/423,549.50 = 423,549.50/x
3. Step 3: Cross multiply
   214,466x = 423,549.50 × 423,549.50
4. Step 4: Simplify right side
   214,466x = 179,394,178,950.25
5. Step 5: Solve for x
   x = 179,394,178,950.25/214,466
6. Step 6: Final answer
   x = 836,469.09