Finding the Third Proportional to 86,892 and 188,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,892 : 188,234.50 = 188,234.50 : x
2. Step 2: Convert to fraction form
   86,892/188,234.50 = 188,234.50/x
3. Step 3: Cross multiply
   86,892x = 188,234.50 × 188,234.50
4. Step 4: Simplify right side
   86,892x = 35,432,226,990.25
5. Step 5: Solve for x
   x = 35,432,226,990.25/86,892
6. Step 6: Final answer
   x = 407,773.18