Finding the Third Proportional to 107,082 and 222,588

Step by Step Solution

1. Step 1: Write the proportion equation
   107,082 : 222,588 = 222,588 : x
2. Step 2: Convert to fraction form
   107,082/222,588 = 222,588/x
3. Step 3: Cross multiply
   107,082x = 222,588 × 222,588
4. Step 4: Simplify right side
   107,082x = 49,545,417,744
5. Step 5: Solve for x
   x = 49,545,417,744/107,082
6. Step 6: Final answer
   x = 462,686.70