Finding the Third Proportional to 72,814 and 109,733

Step by Step Solution

1. Step 1: Write the proportion equation
   72,814 : 109,733 = 109,733 : x
2. Step 2: Convert to fraction form
   72,814/109,733 = 109,733/x
3. Step 3: Cross multiply
   72,814x = 109,733 × 109,733
4. Step 4: Simplify right side
   72,814x = 12,041,331,289
5. Step 5: Solve for x
   x = 12,041,331,289/72,814
6. Step 6: Final answer
   x = 165,371.10