Finding the Third Proportional to 140,968 and 206,160

Step by Step Solution

1. Step 1: Write the proportion equation
   140,968 : 206,160 = 206,160 : x
2. Step 2: Convert to fraction form
   140,968/206,160 = 206,160/x
3. Step 3: Cross multiply
   140,968x = 206,160 × 206,160
4. Step 4: Simplify right side
   140,968x = 42,501,945,600
5. Step 5: Solve for x
   x = 42,501,945,600/140,968
6. Step 6: Final answer
   x = 301,500.66