Finding the Third Proportional to 181,036 and 253,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,036 : 253,218.50 = 253,218.50 : x
2. Step 2: Convert to fraction form
   181,036/253,218.50 = 253,218.50/x
3. Step 3: Cross multiply
   181,036x = 253,218.50 × 253,218.50
4. Step 4: Simplify right side
   181,036x = 64,119,608,742.25
5. Step 5: Solve for x
   x = 64,119,608,742.25/181,036
6. Step 6: Final answer
   x = 354,181.54