Finding the Third Proportional to 105,735 and 140,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,735 : 140,962.50 = 140,962.50 : x
2. Step 2: Convert to fraction form
   105,735/140,962.50 = 140,962.50/x
3. Step 3: Cross multiply
   105,735x = 140,962.50 × 140,962.50
4. Step 4: Simplify right side
   105,735x = 19,870,426,406.25
5. Step 5: Solve for x
   x = 19,870,426,406.25/105,735
6. Step 6: Final answer
   x = 187,926.67