Finding the Third Proportional to 71,886 and 112,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,886 : 112,540.50 = 112,540.50 : x
2. Step 2: Convert to fraction form
   71,886/112,540.50 = 112,540.50/x
3. Step 3: Cross multiply
   71,886x = 112,540.50 × 112,540.50
4. Step 4: Simplify right side
   71,886x = 12,665,364,140.25
5. Step 5: Solve for x
   x = 12,665,364,140.25/71,886
6. Step 6: Final answer
   x = 176,186.80