Finding the Third Proportional to 200,292 and 309,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,292 : 309,268.50 = 309,268.50 : x
2. Step 2: Convert to fraction form
   200,292/309,268.50 = 309,268.50/x
3. Step 3: Cross multiply
   200,292x = 309,268.50 × 309,268.50
4. Step 4: Simplify right side
   200,292x = 95,647,005,092.25
5. Step 5: Solve for x
   x = 95,647,005,092.25/200,292
6. Step 6: Final answer
   x = 477,537.82