Finding the Third Proportional to 81,522 and 123,147

Step by Step Solution

1. Step 1: Write the proportion equation
   81,522 : 123,147 = 123,147 : x
2. Step 2: Convert to fraction form
   81,522/123,147 = 123,147/x
3. Step 3: Cross multiply
   81,522x = 123,147 × 123,147
4. Step 4: Simplify right side
   81,522x = 15,165,183,609
5. Step 5: Solve for x
   x = 15,165,183,609/81,522
6. Step 6: Final answer
   x = 186,025.66