Finding the Third Proportional to 105,196.50 and 147,966.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,196.50 : 147,966.75 = 147,966.75 : x
2. Step 2: Convert to fraction form
   105,196.50/147,966.75 = 147,966.75/x
3. Step 3: Cross multiply
   105,196.50x = 147,966.75 × 147,966.75
4. Step 4: Simplify right side
   105,196.50x = 21,894,159,105.56
5. Step 5: Solve for x
   x = 21,894,159,105.56/105,196.50
6. Step 6: Final answer
   x = 208,126.31