Finding the Third Proportional to 86,642.38 and 189,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,642.38 : 189,590.50 = 189,590.50 : x
2. Step 2: Convert to fraction form
   86,642.38/189,590.50 = 189,590.50/x
3. Step 3: Cross multiply
   86,642.38x = 189,590.50 × 189,590.50
4. Step 4: Simplify right side
   86,642.38x = 35,944,557,690.25
5. Step 5: Solve for x
   x = 35,944,557,690.25/86,642.38
6. Step 6: Final answer
   x = 414,861.18