Finding the Third Proportional to 140,976 and 206,172

Step by Step Solution

1. Step 1: Write the proportion equation
   140,976 : 206,172 = 206,172 : x
2. Step 2: Convert to fraction form
   140,976/206,172 = 206,172/x
3. Step 3: Cross multiply
   140,976x = 206,172 × 206,172
4. Step 4: Simplify right side
   140,976x = 42,506,893,584
5. Step 5: Solve for x
   x = 42,506,893,584/140,976
6. Step 6: Final answer
   x = 301,518.65