Finding the Third Proportional to 81,931.50 and 111,219.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,931.50 : 111,219.75 = 111,219.75 : x
2. Step 2: Convert to fraction form
   81,931.50/111,219.75 = 111,219.75/x
3. Step 3: Cross multiply
   81,931.50x = 111,219.75 × 111,219.75
4. Step 4: Simplify right side
   81,931.50x = 12,369,832,790.06
5. Step 5: Solve for x
   x = 12,369,832,790.06/81,931.50
6. Step 6: Final answer
   x = 150,977.74