Finding the Third Proportional to 56,128 and 82,224

Step by Step Solution

1. Step 1: Write the proportion equation
   56,128 : 82,224 = 82,224 : x
2. Step 2: Convert to fraction form
   56,128/82,224 = 82,224/x
3. Step 3: Cross multiply
   56,128x = 82,224 × 82,224
4. Step 4: Simplify right side
   56,128x = 6,760,786,176
5. Step 5: Solve for x
   x = 6,760,786,176/56,128
6. Step 6: Final answer
   x = 120,453.00