Finding the Third Proportional to 82,776 and 110,085

Step by Step Solution

1. Step 1: Write the proportion equation
   82,776 : 110,085 = 110,085 : x
2. Step 2: Convert to fraction form
   82,776/110,085 = 110,085/x
3. Step 3: Cross multiply
   82,776x = 110,085 × 110,085
4. Step 4: Simplify right side
   82,776x = 12,118,707,225
5. Step 5: Solve for x
   x = 12,118,707,225/82,776
6. Step 6: Final answer
   x = 146,403.63