Finding the Third Proportional to 111,684 and 167,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,684 : 167,548.50 = 167,548.50 : x
2. Step 2: Convert to fraction form
   111,684/167,548.50 = 167,548.50/x
3. Step 3: Cross multiply
   111,684x = 167,548.50 × 167,548.50
4. Step 4: Simplify right side
   111,684x = 28,072,499,852.25
5. Step 5: Solve for x
   x = 28,072,499,852.25/111,684
6. Step 6: Final answer
   x = 251,356.50