Finding the Third Proportional to 105,019.50 and 157,164

Step by Step Solution

1. Step 1: Write the proportion equation
   105,019.50 : 157,164 = 157,164 : x
2. Step 2: Convert to fraction form
   105,019.50/157,164 = 157,164/x
3. Step 3: Cross multiply
   105,019.50x = 157,164 × 157,164
4. Step 4: Simplify right side
   105,019.50x = 24,700,522,896
5. Step 5: Solve for x
   x = 24,700,522,896/105,019.50
6. Step 6: Final answer
   x = 235,199.40