Finding the Third Proportional to 49,817 and 76,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,817 : 76,171.50 = 76,171.50 : x
2. Step 2: Convert to fraction form
   49,817/76,171.50 = 76,171.50/x
3. Step 3: Cross multiply
   49,817x = 76,171.50 × 76,171.50
4. Step 4: Simplify right side
   49,817x = 5,802,097,412.25
5. Step 5: Solve for x
   x = 5,802,097,412.25/49,817
6. Step 6: Final answer
   x = 116,468.22