Finding the Third Proportional to 82,276 and 123,197

Step by Step Solution

1. Step 1: Write the proportion equation
   82,276 : 123,197 = 123,197 : x
2. Step 2: Convert to fraction form
   82,276/123,197 = 123,197/x
3. Step 3: Cross multiply
   82,276x = 123,197 × 123,197
4. Step 4: Simplify right side
   82,276x = 15,177,500,809
5. Step 5: Solve for x
   x = 15,177,500,809/82,276
6. Step 6: Final answer
   x = 184,470.57