Finding the Third Proportional to 105,840 and 150,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,840 : 150,877.50 = 150,877.50 : x
2. Step 2: Convert to fraction form
   105,840/150,877.50 = 150,877.50/x
3. Step 3: Cross multiply
   105,840x = 150,877.50 × 150,877.50
4. Step 4: Simplify right side
   105,840x = 22,764,020,006.25
5. Step 5: Solve for x
   x = 22,764,020,006.25/105,840
6. Step 6: Final answer
   x = 215,079.55