Finding the Third Proportional to 90,857 and 139,465

Step by Step Solution

1. Step 1: Write the proportion equation
   90,857 : 139,465 = 139,465 : x
2. Step 2: Convert to fraction form
   90,857/139,465 = 139,465/x
3. Step 3: Cross multiply
   90,857x = 139,465 × 139,465
4. Step 4: Simplify right side
   90,857x = 19,450,486,225
5. Step 5: Solve for x
   x = 19,450,486,225/90,857
6. Step 6: Final answer
   x = 214,078.02