Finding the Third Proportional to 49,466 and 76,503

Step by Step Solution

1. Step 1: Write the proportion equation
   49,466 : 76,503 = 76,503 : x
2. Step 2: Convert to fraction form
   49,466/76,503 = 76,503/x
3. Step 3: Cross multiply
   49,466x = 76,503 × 76,503
4. Step 4: Simplify right side
   49,466x = 5,852,709,009
5. Step 5: Solve for x
   x = 5,852,709,009/49,466
6. Step 6: Final answer
   x = 118,317.81