Finding the Third Proportional to 49,834 and 77,242

Step by Step Solution

1. Step 1: Write the proportion equation
   49,834 : 77,242 = 77,242 : x
2. Step 2: Convert to fraction form
   49,834/77,242 = 77,242/x
3. Step 3: Cross multiply
   49,834x = 77,242 × 77,242
4. Step 4: Simplify right side
   49,834x = 5,966,326,564
5. Step 5: Solve for x
   x = 5,966,326,564/49,834
6. Step 6: Final answer
   x = 119,724.02