Finding the Third Proportional to 82,206.50 and 123,311

Step by Step Solution

1. Step 1: Write the proportion equation
   82,206.50 : 123,311 = 123,311 : x
2. Step 2: Convert to fraction form
   82,206.50/123,311 = 123,311/x
3. Step 3: Cross multiply
   82,206.50x = 123,311 × 123,311
4. Step 4: Simplify right side
   82,206.50x = 15,205,602,721
5. Step 5: Solve for x
   x = 15,205,602,721/82,206.50
6. Step 6: Final answer
   x = 184,968.38