Finding the Third Proportional to 90,896 and 139,518

Step by Step Solution

1. Step 1: Write the proportion equation
   90,896 : 139,518 = 139,518 : x
2. Step 2: Convert to fraction form
   90,896/139,518 = 139,518/x
3. Step 3: Cross multiply
   90,896x = 139,518 × 139,518
4. Step 4: Simplify right side
   90,896x = 19,465,272,324
5. Step 5: Solve for x
   x = 19,465,272,324/90,896
6. Step 6: Final answer
   x = 214,148.83