Finding the Third Proportional to 86,650 and 188,970

Step by Step Solution

1. Step 1: Write the proportion equation
   86,650 : 188,970 = 188,970 : x
2. Step 2: Convert to fraction form
   86,650/188,970 = 188,970/x
3. Step 3: Cross multiply
   86,650x = 188,970 × 188,970
4. Step 4: Simplify right side
   86,650x = 35,709,660,900
5. Step 5: Solve for x
   x = 35,709,660,900/86,650
6. Step 6: Final answer
   x = 412,113.80