Finding the Third Proportional to 89,984 and 139,692

Step by Step Solution

1. Step 1: Write the proportion equation
   89,984 : 139,692 = 139,692 : x
2. Step 2: Convert to fraction form
   89,984/139,692 = 139,692/x
3. Step 3: Cross multiply
   89,984x = 139,692 × 139,692
4. Step 4: Simplify right side
   89,984x = 19,513,854,864
5. Step 5: Solve for x
   x = 19,513,854,864/89,984
6. Step 6: Final answer
   x = 216,859.16