Finding the Third Proportional to 99,802 and 150,738

Step by Step Solution

1. Step 1: Write the proportion equation
   99,802 : 150,738 = 150,738 : x
2. Step 2: Convert to fraction form
   99,802/150,738 = 150,738/x
3. Step 3: Cross multiply
   99,802x = 150,738 × 150,738
4. Step 4: Simplify right side
   99,802x = 22,721,944,644
5. Step 5: Solve for x
   x = 22,721,944,644/99,802
6. Step 6: Final answer
   x = 227,670.23