Finding the Third Proportional to 82,064 and 123,177

Step by Step Solution

1. Step 1: Write the proportion equation
   82,064 : 123,177 = 123,177 : x
2. Step 2: Convert to fraction form
   82,064/123,177 = 123,177/x
3. Step 3: Cross multiply
   82,064x = 123,177 × 123,177
4. Step 4: Simplify right side
   82,064x = 15,172,573,329
5. Step 5: Solve for x
   x = 15,172,573,329/82,064
6. Step 6: Final answer
   x = 184,887.08