Finding the Third Proportional to 99,036 and 206,280

Step by Step Solution

1. Step 1: Write the proportion equation
   99,036 : 206,280 = 206,280 : x
2. Step 2: Convert to fraction form
   99,036/206,280 = 206,280/x
3. Step 3: Cross multiply
   99,036x = 206,280 × 206,280
4. Step 4: Simplify right side
   99,036x = 42,551,438,400
5. Step 5: Solve for x
   x = 42,551,438,400/99,036
6. Step 6: Final answer
   x = 429,656.27