Finding the Third Proportional to 81,966 and 123,702

Step by Step Solution

1. Step 1: Write the proportion equation
   81,966 : 123,702 = 123,702 : x
2. Step 2: Convert to fraction form
   81,966/123,702 = 123,702/x
3. Step 3: Cross multiply
   81,966x = 123,702 × 123,702
4. Step 4: Simplify right side
   81,966x = 15,302,184,804
5. Step 5: Solve for x
   x = 15,302,184,804/81,966
6. Step 6: Final answer
   x = 186,689.42