Finding the Third Proportional to 94,323 and 204,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,323 : 204,724.50 = 204,724.50 : x
2. Step 2: Convert to fraction form
   94,323/204,724.50 = 204,724.50/x
3. Step 3: Cross multiply
   94,323x = 204,724.50 × 204,724.50
4. Step 4: Simplify right side
   94,323x = 41,912,120,900.25
5. Step 5: Solve for x
   x = 41,912,120,900.25/94,323
6. Step 6: Final answer
   x = 444,346.78