Finding the Third Proportional to 86,522 and 187,732

Step by Step Solution

1. Step 1: Write the proportion equation
   86,522 : 187,732 = 187,732 : x
2. Step 2: Convert to fraction form
   86,522/187,732 = 187,732/x
3. Step 3: Cross multiply
   86,522x = 187,732 × 187,732
4. Step 4: Simplify right side
   86,522x = 35,243,303,824
5. Step 5: Solve for x
   x = 35,243,303,824/86,522
6. Step 6: Final answer
   x = 407,333.44