Finding the Third Proportional to 94,563 and 206,298

Step by Step Solution

1. Step 1: Write the proportion equation
   94,563 : 206,298 = 206,298 : x
2. Step 2: Convert to fraction form
   94,563/206,298 = 206,298/x
3. Step 3: Cross multiply
   94,563x = 206,298 × 206,298
4. Step 4: Simplify right side
   94,563x = 42,558,864,804
5. Step 5: Solve for x
   x = 42,558,864,804/94,563
6. Step 6: Final answer
   x = 450,058.32