Finding the Third Proportional to 89,802 and 139,431

Step by Step Solution

1. Step 1: Write the proportion equation
   89,802 : 139,431 = 139,431 : x
2. Step 2: Convert to fraction form
   89,802/139,431 = 139,431/x
3. Step 3: Cross multiply
   89,802x = 139,431 × 139,431
4. Step 4: Simplify right side
   89,802x = 19,441,003,761
5. Step 5: Solve for x
   x = 19,441,003,761/89,802
6. Step 6: Final answer
   x = 216,487.43