Finding the Third Proportional to 106,322 and 144,458

Step by Step Solution

1. Step 1: Write the proportion equation
   106,322 : 144,458 = 144,458 : x
2. Step 2: Convert to fraction form
   106,322/144,458 = 144,458/x
3. Step 3: Cross multiply
   106,322x = 144,458 × 144,458
4. Step 4: Simplify right side
   106,322x = 20,868,113,764
5. Step 5: Solve for x
   x = 20,868,113,764/106,322
6. Step 6: Final answer
   x = 196,272.77