Finding the Third Proportional to 81,926 and 123,468

Step by Step Solution

1. Step 1: Write the proportion equation
   81,926 : 123,468 = 123,468 : x
2. Step 2: Convert to fraction form
   81,926/123,468 = 123,468/x
3. Step 3: Cross multiply
   81,926x = 123,468 × 123,468
4. Step 4: Simplify right side
   81,926x = 15,244,347,024
5. Step 5: Solve for x
   x = 15,244,347,024/81,926
6. Step 6: Final answer
   x = 186,074.59