Finding the Third Proportional to 81,216 and 120,224.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,216 : 120,224.25 = 120,224.25 : x
2. Step 2: Convert to fraction form
   81,216/120,224.25 = 120,224.25/x
3. Step 3: Cross multiply
   81,216x = 120,224.25 × 120,224.25
4. Step 4: Simplify right side
   81,216x = 14,453,870,288.06
5. Step 5: Solve for x
   x = 14,453,870,288.06/81,216
6. Step 6: Final answer
   x = 177,968.26