Finding the Third Proportional to 82,776 and 173,664

Step by Step Solution

1. Step 1: Write the proportion equation
   82,776 : 173,664 = 173,664 : x
2. Step 2: Convert to fraction form
   82,776/173,664 = 173,664/x
3. Step 3: Cross multiply
   82,776x = 173,664 × 173,664
4. Step 4: Simplify right side
   82,776x = 30,159,184,896
5. Step 5: Solve for x
   x = 30,159,184,896/82,776
6. Step 6: Final answer
   x = 364,346.97