Finding the Third Proportional to 49,209 and 76,406

Step by Step Solution

1. Step 1: Write the proportion equation
   49,209 : 76,406 = 76,406 : x
2. Step 2: Convert to fraction form
   49,209/76,406 = 76,406/x
3. Step 3: Cross multiply
   49,209x = 76,406 × 76,406
4. Step 4: Simplify right side
   49,209x = 5,837,876,836
5. Step 5: Solve for x
   x = 5,837,876,836/49,209
6. Step 6: Final answer
   x = 118,634.33