Finding the Third Proportional to 86,978 and 188,346

Step by Step Solution

1. Step 1: Write the proportion equation
   86,978 : 188,346 = 188,346 : x
2. Step 2: Convert to fraction form
   86,978/188,346 = 188,346/x
3. Step 3: Cross multiply
   86,978x = 188,346 × 188,346
4. Step 4: Simplify right side
   86,978x = 35,474,215,716
5. Step 5: Solve for x
   x = 35,474,215,716/86,978
6. Step 6: Final answer
   x = 407,852.74