Finding the Third Proportional to 93,578 and 204,650

Step by Step Solution

1. Step 1: Write the proportion equation
   93,578 : 204,650 = 204,650 : x
2. Step 2: Convert to fraction form
   93,578/204,650 = 204,650/x
3. Step 3: Cross multiply
   93,578x = 204,650 × 204,650
4. Step 4: Simplify right side
   93,578x = 41,881,622,500
5. Step 5: Solve for x
   x = 41,881,622,500/93,578
6. Step 6: Final answer
   x = 447,558.43