Finding the Third Proportional to 49,397 and 76,602

Step by Step Solution

1. Step 1: Write the proportion equation
   49,397 : 76,602 = 76,602 : x
2. Step 2: Convert to fraction form
   49,397/76,602 = 76,602/x
3. Step 3: Cross multiply
   49,397x = 76,602 × 76,602
4. Step 4: Simplify right side
   49,397x = 5,867,866,404
5. Step 5: Solve for x
   x = 5,867,866,404/49,397
6. Step 6: Final answer
   x = 118,789.93