Finding the Third Proportional to 82,208 and 123,313

Step by Step Solution

1. Step 1: Write the proportion equation
   82,208 : 123,313 = 123,313 : x
2. Step 2: Convert to fraction form
   82,208/123,313 = 123,313/x
3. Step 3: Cross multiply
   82,208x = 123,313 × 123,313
4. Step 4: Simplify right side
   82,208x = 15,206,095,969
5. Step 5: Solve for x
   x = 15,206,095,969/82,208
6. Step 6: Final answer
   x = 184,971.00