Finding the Third Proportional to 82,215 and 111,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,215 : 111,091.50 = 111,091.50 : x
2. Step 2: Convert to fraction form
   82,215/111,091.50 = 111,091.50/x
3. Step 3: Cross multiply
   82,215x = 111,091.50 × 111,091.50
4. Step 4: Simplify right side
   82,215x = 12,341,321,372.25
5. Step 5: Solve for x
   x = 12,341,321,372.25/82,215
6. Step 6: Final answer
   x = 150,110.34