Finding the Third Proportional to 85,097.25 and 181,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,097.25 : 181,372.50 = 181,372.50 : x
2. Step 2: Convert to fraction form
   85,097.25/181,372.50 = 181,372.50/x
3. Step 3: Cross multiply
   85,097.25x = 181,372.50 × 181,372.50
4. Step 4: Simplify right side
   85,097.25x = 32,895,983,756.25
5. Step 5: Solve for x
   x = 32,895,983,756.25/85,097.25
6. Step 6: Final answer
   x = 386,569.29