Finding the Third Proportional to 86,468 and 188,086

Step by Step Solution

1. Step 1: Write the proportion equation
   86,468 : 188,086 = 188,086 : x
2. Step 2: Convert to fraction form
   86,468/188,086 = 188,086/x
3. Step 3: Cross multiply
   86,468x = 188,086 × 188,086
4. Step 4: Simplify right side
   86,468x = 35,376,343,396
5. Step 5: Solve for x
   x = 35,376,343,396/86,468
6. Step 6: Final answer
   x = 409,126.42