Finding the Third Proportional to 100,662 and 148,077

Step by Step Solution

1. Step 1: Write the proportion equation
   100,662 : 148,077 = 148,077 : x
2. Step 2: Convert to fraction form
   100,662/148,077 = 148,077/x
3. Step 3: Cross multiply
   100,662x = 148,077 × 148,077
4. Step 4: Simplify right side
   100,662x = 21,926,797,929
5. Step 5: Solve for x
   x = 21,926,797,929/100,662
6. Step 6: Final answer
   x = 217,825.97