Finding the Third Proportional to 81,921 and 123,633

Step by Step Solution

1. Step 1: Write the proportion equation
   81,921 : 123,633 = 123,633 : x
2. Step 2: Convert to fraction form
   81,921/123,633 = 123,633/x
3. Step 3: Cross multiply
   81,921x = 123,633 × 123,633
4. Step 4: Simplify right side
   81,921x = 15,285,118,689
5. Step 5: Solve for x
   x = 15,285,118,689/81,921
6. Step 6: Final answer
   x = 186,583.64