Finding the Third Proportional to 99,338 and 216,522

Step by Step Solution

1. Step 1: Write the proportion equation
   99,338 : 216,522 = 216,522 : x
2. Step 2: Convert to fraction form
   99,338/216,522 = 216,522/x
3. Step 3: Cross multiply
   99,338x = 216,522 × 216,522
4. Step 4: Simplify right side
   99,338x = 46,881,776,484
5. Step 5: Solve for x
   x = 46,881,776,484/99,338
6. Step 6: Final answer
   x = 471,942.02