Finding the Third Proportional to 106,823 and 167,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,823 : 167,567.50 = 167,567.50 : x
2. Step 2: Convert to fraction form
   106,823/167,567.50 = 167,567.50/x
3. Step 3: Cross multiply
   106,823x = 167,567.50 × 167,567.50
4. Step 4: Simplify right side
   106,823x = 28,078,867,056.25
5. Step 5: Solve for x
   x = 28,078,867,056.25/106,823
6. Step 6: Final answer
   x = 262,854.13