Finding the Third Proportional to 90,876 and 139,194

Step by Step Solution

1. Step 1: Write the proportion equation
   90,876 : 139,194 = 139,194 : x
2. Step 2: Convert to fraction form
   90,876/139,194 = 139,194/x
3. Step 3: Cross multiply
   90,876x = 139,194 × 139,194
4. Step 4: Simplify right side
   90,876x = 19,374,969,636
5. Step 5: Solve for x
   x = 19,374,969,636/90,876
6. Step 6: Final answer
   x = 213,202.27