Finding the Third Proportional to 76,298 and 101,871

Step by Step Solution

1. Step 1: Write the proportion equation
   76,298 : 101,871 = 101,871 : x
2. Step 2: Convert to fraction form
   76,298/101,871 = 101,871/x
3. Step 3: Cross multiply
   76,298x = 101,871 × 101,871
4. Step 4: Simplify right side
   76,298x = 10,377,700,641
5. Step 5: Solve for x
   x = 10,377,700,641/76,298
6. Step 6: Final answer
   x = 136,015.37