Finding the Third Proportional to 49,514 and 77,308

Step by Step Solution

1. Step 1: Write the proportion equation
   49,514 : 77,308 = 77,308 : x
2. Step 2: Convert to fraction form
   49,514/77,308 = 77,308/x
3. Step 3: Cross multiply
   49,514x = 77,308 × 77,308
4. Step 4: Simplify right side
   49,514x = 5,976,526,864
5. Step 5: Solve for x
   x = 5,976,526,864/49,514
6. Step 6: Final answer
   x = 120,703.78