Finding the Third Proportional to 105,036 and 157,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,036 : 157,186.50 = 157,186.50 : x
2. Step 2: Convert to fraction form
   105,036/157,186.50 = 157,186.50/x
3. Step 3: Cross multiply
   105,036x = 157,186.50 × 157,186.50
4. Step 4: Simplify right side
   105,036x = 24,707,595,782.25
5. Step 5: Solve for x
   x = 24,707,595,782.25/105,036
6. Step 6: Final answer
   x = 235,229.79