Finding the Third Proportional to 49,817 and 76,184

Step by Step Solution

1. Step 1: Write the proportion equation
   49,817 : 76,184 = 76,184 : x
2. Step 2: Convert to fraction form
   49,817/76,184 = 76,184/x
3. Step 3: Cross multiply
   49,817x = 76,184 × 76,184
4. Step 4: Simplify right side
   49,817x = 5,804,001,856
5. Step 5: Solve for x
   x = 5,804,001,856/49,817
6. Step 6: Final answer
   x = 116,506.45