Finding the Third Proportional to 94,522 and 206,216

Step by Step Solution

1. Step 1: Write the proportion equation
   94,522 : 206,216 = 206,216 : x
2. Step 2: Convert to fraction form
   94,522/206,216 = 206,216/x
3. Step 3: Cross multiply
   94,522x = 206,216 × 206,216
4. Step 4: Simplify right side
   94,522x = 42,525,038,656
5. Step 5: Solve for x
   x = 42,525,038,656/94,522
6. Step 6: Final answer
   x = 449,895.67