Finding the Third Proportional to 100,871 and 148,386

Step by Step Solution

1. Step 1: Write the proportion equation
   100,871 : 148,386 = 148,386 : x
2. Step 2: Convert to fraction form
   100,871/148,386 = 148,386/x
3. Step 3: Cross multiply
   100,871x = 148,386 × 148,386
4. Step 4: Simplify right side
   100,871x = 22,018,404,996
5. Step 5: Solve for x
   x = 22,018,404,996/100,871
6. Step 6: Final answer
   x = 218,282.81