Finding the Third Proportional to 49,618 and 74,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,618 : 74,539.50 = 74,539.50 : x
2. Step 2: Convert to fraction form
   49,618/74,539.50 = 74,539.50/x
3. Step 3: Cross multiply
   49,618x = 74,539.50 × 74,539.50
4. Step 4: Simplify right side
   49,618x = 5,556,137,060.25
5. Step 5: Solve for x
   x = 5,556,137,060.25/49,618
6. Step 6: Final answer
   x = 111,978.26