Finding the Third Proportional to 49,114 and 76,830

Step by Step Solution

1. Step 1: Write the proportion equation
   49,114 : 76,830 = 76,830 : x
2. Step 2: Convert to fraction form
   49,114/76,830 = 76,830/x
3. Step 3: Cross multiply
   49,114x = 76,830 × 76,830
4. Step 4: Simplify right side
   49,114x = 5,902,848,900
5. Step 5: Solve for x
   x = 5,902,848,900/49,114
6. Step 6: Final answer
   x = 120,186.69