Finding the Third Proportional to 49,955 and 77,345

Step by Step Solution

1. Step 1: Write the proportion equation
   49,955 : 77,345 = 77,345 : x
2. Step 2: Convert to fraction form
   49,955/77,345 = 77,345/x
3. Step 3: Cross multiply
   49,955x = 77,345 × 77,345
4. Step 4: Simplify right side
   49,955x = 5,982,249,025
5. Step 5: Solve for x
   x = 5,982,249,025/49,955
6. Step 6: Final answer
   x = 119,752.76