Finding the Third Proportional to 81,772.50 and 181,224

Step by Step Solution

1. Step 1: Write the proportion equation
   81,772.50 : 181,224 = 181,224 : x
2. Step 2: Convert to fraction form
   81,772.50/181,224 = 181,224/x
3. Step 3: Cross multiply
   81,772.50x = 181,224 × 181,224
4. Step 4: Simplify right side
   81,772.50x = 32,842,138,176
5. Step 5: Solve for x
   x = 32,842,138,176/81,772.50
6. Step 6: Final answer
   x = 401,628.15