Finding the Third Proportional to 140,908 and 206,178

Step by Step Solution

1. Step 1: Write the proportion equation
   140,908 : 206,178 = 206,178 : x
2. Step 2: Convert to fraction form
   140,908/206,178 = 206,178/x
3. Step 3: Cross multiply
   140,908x = 206,178 × 206,178
4. Step 4: Simplify right side
   140,908x = 42,509,367,684
5. Step 5: Solve for x
   x = 42,509,367,684/140,908
6. Step 6: Final answer
   x = 301,681.72