Finding the Third Proportional to 49,772 and 77,178

Step by Step Solution

1. Step 1: Write the proportion equation
   49,772 : 77,178 = 77,178 : x
2. Step 2: Convert to fraction form
   49,772/77,178 = 77,178/x
3. Step 3: Cross multiply
   49,772x = 77,178 × 77,178
4. Step 4: Simplify right side
   49,772x = 5,956,443,684
5. Step 5: Solve for x
   x = 5,956,443,684/49,772
6. Step 6: Final answer
   x = 119,674.59