Finding the Third Proportional to 84,225 and 181,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,225 : 181,807.50 = 181,807.50 : x
2. Step 2: Convert to fraction form
   84,225/181,807.50 = 181,807.50/x
3. Step 3: Cross multiply
   84,225x = 181,807.50 × 181,807.50
4. Step 4: Simplify right side
   84,225x = 33,053,967,056.25
5. Step 5: Solve for x
   x = 33,053,967,056.25/84,225
6. Step 6: Final answer
   x = 392,448.41