Finding the Third Proportional to 140,106 and 188,772

Step by Step Solution

1. Step 1: Write the proportion equation
   140,106 : 188,772 = 188,772 : x
2. Step 2: Convert to fraction form
   140,106/188,772 = 188,772/x
3. Step 3: Cross multiply
   140,106x = 188,772 × 188,772
4. Step 4: Simplify right side
   140,106x = 35,634,867,984
5. Step 5: Solve for x
   x = 35,634,867,984/140,106
6. Step 6: Final answer
   x = 254,342.20