Finding the Third Proportional to 91,728 and 141,774.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,728 : 141,774.75 = 141,774.75 : x
2. Step 2: Convert to fraction form
   91,728/141,774.75 = 141,774.75/x
3. Step 3: Cross multiply
   91,728x = 141,774.75 × 141,774.75
4. Step 4: Simplify right side
   91,728x = 20,100,079,737.56
5. Step 5: Solve for x
   x = 20,100,079,737.56/91,728
6. Step 6: Final answer
   x = 219,126.98