Finding the Third Proportional to 82,224 and 111,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,224 : 111,415.50 = 111,415.50 : x
2. Step 2: Convert to fraction form
   82,224/111,415.50 = 111,415.50/x
3. Step 3: Cross multiply
   82,224x = 111,415.50 × 111,415.50
4. Step 4: Simplify right side
   82,224x = 12,413,413,640.25
5. Step 5: Solve for x
   x = 12,413,413,640.25/82,224
6. Step 6: Final answer
   x = 150,970.69