Finding the Third Proportional to 154,046 and 206,050

Step by Step Solution

1. Step 1: Write the proportion equation
   154,046 : 206,050 = 206,050 : x
2. Step 2: Convert to fraction form
   154,046/206,050 = 206,050/x
3. Step 3: Cross multiply
   154,046x = 206,050 × 206,050
4. Step 4: Simplify right side
   154,046x = 42,456,602,500
5. Step 5: Solve for x
   x = 42,456,602,500/154,046
6. Step 6: Final answer
   x = 275,609.90