Finding the Third Proportional to 105,905 and 148,129

Step by Step Solution

1. Step 1: Write the proportion equation
   105,905 : 148,129 = 148,129 : x
2. Step 2: Convert to fraction form
   105,905/148,129 = 148,129/x
3. Step 3: Cross multiply
   105,905x = 148,129 × 148,129
4. Step 4: Simplify right side
   105,905x = 21,942,200,641
5. Step 5: Solve for x
   x = 21,942,200,641/105,905
6. Step 6: Final answer
   x = 207,187.58