Finding the Third Proportional to 57,978 and 82,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,978 : 82,687.50 = 82,687.50 : x
2. Step 2: Convert to fraction form
   57,978/82,687.50 = 82,687.50/x
3. Step 3: Cross multiply
   57,978x = 82,687.50 × 82,687.50
4. Step 4: Simplify right side
   57,978x = 6,837,222,656.25
5. Step 5: Solve for x
   x = 6,837,222,656.25/57,978
6. Step 6: Final answer
   x = 117,927.88