Finding the Third Proportional to 86,772 and 117,870

Step by Step Solution

1. Step 1: Write the proportion equation
   86,772 : 117,870 = 117,870 : x
2. Step 2: Convert to fraction form
   86,772/117,870 = 117,870/x
3. Step 3: Cross multiply
   86,772x = 117,870 × 117,870
4. Step 4: Simplify right side
   86,772x = 13,893,336,900
5. Step 5: Solve for x
   x = 13,893,336,900/86,772
6. Step 6: Final answer
   x = 160,113.13