Finding the Third Proportional to 82,208 and 123,323

Step by Step Solution

1. Step 1: Write the proportion equation
   82,208 : 123,323 = 123,323 : x
2. Step 2: Convert to fraction form
   82,208/123,323 = 123,323/x
3. Step 3: Cross multiply
   82,208x = 123,323 × 123,323
4. Step 4: Simplify right side
   82,208x = 15,208,562,329
5. Step 5: Solve for x
   x = 15,208,562,329/82,208
6. Step 6: Final answer
   x = 185,001.00