Finding the Third Proportional to 89,694 and 139,455

Step by Step Solution

1. Step 1: Write the proportion equation
   89,694 : 139,455 = 139,455 : x
2. Step 2: Convert to fraction form
   89,694/139,455 = 139,455/x
3. Step 3: Cross multiply
   89,694x = 139,455 × 139,455
4. Step 4: Simplify right side
   89,694x = 19,447,697,025
5. Step 5: Solve for x
   x = 19,447,697,025/89,694
6. Step 6: Final answer
   x = 216,822.72