Finding the Third Proportional to 72,966 and 109,863

Step by Step Solution

1. Step 1: Write the proportion equation
   72,966 : 109,863 = 109,863 : x
2. Step 2: Convert to fraction form
   72,966/109,863 = 109,863/x
3. Step 3: Cross multiply
   72,966x = 109,863 × 109,863
4. Step 4: Simplify right side
   72,966x = 12,069,878,769
5. Step 5: Solve for x
   x = 12,069,878,769/72,966
6. Step 6: Final answer
   x = 165,417.85