Finding the Third Proportional to 105,195 and 147,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,195 : 147,964.50 = 147,964.50 : x
2. Step 2: Convert to fraction form
   105,195/147,964.50 = 147,964.50/x
3. Step 3: Cross multiply
   105,195x = 147,964.50 × 147,964.50
4. Step 4: Simplify right side
   105,195x = 21,893,493,260.25
5. Step 5: Solve for x
   x = 21,893,493,260.25/105,195
6. Step 6: Final answer
   x = 208,122.95