Finding the Third Proportional to 82,270 and 123,188

Step by Step Solution

1. Step 1: Write the proportion equation
   82,270 : 123,188 = 123,188 : x
2. Step 2: Convert to fraction form
   82,270/123,188 = 123,188/x
3. Step 3: Cross multiply
   82,270x = 123,188 × 123,188
4. Step 4: Simplify right side
   82,270x = 15,175,283,344
5. Step 5: Solve for x
   x = 15,175,283,344/82,270
6. Step 6: Final answer
   x = 184,457.07