Finding the Third Proportional to 81,570 and 114,871

Step by Step Solution

1. Step 1: Write the proportion equation
   81,570 : 114,871 = 114,871 : x
2. Step 2: Convert to fraction form
   81,570/114,871 = 114,871/x
3. Step 3: Cross multiply
   81,570x = 114,871 × 114,871
4. Step 4: Simplify right side
   81,570x = 13,195,346,641
5. Step 5: Solve for x
   x = 13,195,346,641/81,570
6. Step 6: Final answer
   x = 161,767.15