Finding the Third Proportional to 82,185 and 123,093

Step by Step Solution

1. Step 1: Write the proportion equation
   82,185 : 123,093 = 123,093 : x
2. Step 2: Convert to fraction form
   82,185/123,093 = 123,093/x
3. Step 3: Cross multiply
   82,185x = 123,093 × 123,093
4. Step 4: Simplify right side
   82,185x = 15,151,886,649
5. Step 5: Solve for x
   x = 15,151,886,649/82,185
6. Step 6: Final answer
   x = 184,363.16