Finding the Third Proportional to 107,886 and 167,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,886 : 167,506.50 = 167,506.50 : x
2. Step 2: Convert to fraction form
   107,886/167,506.50 = 167,506.50/x
3. Step 3: Cross multiply
   107,886x = 167,506.50 × 167,506.50
4. Step 4: Simplify right side
   107,886x = 28,058,427,542.25
5. Step 5: Solve for x
   x = 28,058,427,542.25/107,886
6. Step 6: Final answer
   x = 260,074.78