Finding the Third Proportional to 109,807.50 and 181,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,807.50 : 181,741.50 = 181,741.50 : x
2. Step 2: Convert to fraction form
   109,807.50/181,741.50 = 181,741.50/x
3. Step 3: Cross multiply
   109,807.50x = 181,741.50 × 181,741.50
4. Step 4: Simplify right side
   109,807.50x = 33,029,972,822.25
5. Step 5: Solve for x
   x = 33,029,972,822.25/109,807.50
6. Step 6: Final answer
   x = 300,798.88