Finding the Third Proportional to 92,327 and 204,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,327 : 204,029.50 = 204,029.50 : x
2. Step 2: Convert to fraction form
   92,327/204,029.50 = 204,029.50/x
3. Step 3: Cross multiply
   92,327x = 204,029.50 × 204,029.50
4. Step 4: Simplify right side
   92,327x = 41,628,036,870.25
5. Step 5: Solve for x
   x = 41,628,036,870.25/92,327
6. Step 6: Final answer
   x = 450,876.09