Finding the Third Proportional to 85,024.69 and 185,591.81

Step by Step Solution

1. Step 1: Write the proportion equation
   85,024.69 : 185,591.81 = 185,591.81 : x
2. Step 2: Convert to fraction form
   85,024.69/185,591.81 = 185,591.81/x
3. Step 3: Cross multiply
   85,024.69x = 185,591.81 × 185,591.81
4. Step 4: Simplify right side
   85,024.69x = 34,444,320,867.04
5. Step 5: Solve for x
   x = 34,444,320,867.04/85,024.69
6. Step 6: Final answer
   x = 405,109.64