Finding the Third Proportional to 105,964 and 148,518

Step by Step Solution

1. Step 1: Write the proportion equation
   105,964 : 148,518 = 148,518 : x
2. Step 2: Convert to fraction form
   105,964/148,518 = 148,518/x
3. Step 3: Cross multiply
   105,964x = 148,518 × 148,518
4. Step 4: Simplify right side
   105,964x = 22,057,596,324
5. Step 5: Solve for x
   x = 22,057,596,324/105,964
6. Step 6: Final answer
   x = 208,161.23