Finding the Third Proportional to 101,857 and 149,662

Step by Step Solution

1. Step 1: Write the proportion equation
   101,857 : 149,662 = 149,662 : x
2. Step 2: Convert to fraction form
   101,857/149,662 = 149,662/x
3. Step 3: Cross multiply
   101,857x = 149,662 × 149,662
4. Step 4: Simplify right side
   101,857x = 22,398,714,244
5. Step 5: Solve for x
   x = 22,398,714,244/101,857
6. Step 6: Final answer
   x = 219,903.53