Finding the Third Proportional to 77,724 and 114,034

Step by Step Solution

1. Step 1: Write the proportion equation
   77,724 : 114,034 = 114,034 : x
2. Step 2: Convert to fraction form
   77,724/114,034 = 114,034/x
3. Step 3: Cross multiply
   77,724x = 114,034 × 114,034
4. Step 4: Simplify right side
   77,724x = 13,003,753,156
5. Step 5: Solve for x
   x = 13,003,753,156/77,724
6. Step 6: Final answer
   x = 167,306.79