Finding the Third Proportional to 105,862 and 150,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,862 : 150,475.50 = 150,475.50 : x
2. Step 2: Convert to fraction form
   105,862/150,475.50 = 150,475.50/x
3. Step 3: Cross multiply
   105,862x = 150,475.50 × 150,475.50
4. Step 4: Simplify right side
   105,862x = 22,642,876,100.25
5. Step 5: Solve for x
   x = 22,642,876,100.25/105,862
6. Step 6: Final answer
   x = 213,890.50