Finding the Third Proportional to 200,422 and 322,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,422 : 322,354.50 = 322,354.50 : x
2. Step 2: Convert to fraction form
   200,422/322,354.50 = 322,354.50/x
3. Step 3: Cross multiply
   200,422x = 322,354.50 × 322,354.50
4. Step 4: Simplify right side
   200,422x = 103,912,423,670.25
5. Step 5: Solve for x
   x = 103,912,423,670.25/200,422
6. Step 6: Final answer
   x = 518,468.15