Finding the Third Proportional to 47,886 and 76,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,886 : 76,852.50 = 76,852.50 : x
2. Step 2: Convert to fraction form
   47,886/76,852.50 = 76,852.50/x
3. Step 3: Cross multiply
   47,886x = 76,852.50 × 76,852.50
4. Step 4: Simplify right side
   47,886x = 5,906,306,756.25
5. Step 5: Solve for x
   x = 5,906,306,756.25/47,886
6. Step 6: Final answer
   x = 123,340.99