Finding the Third Proportional to 77,034 and 114,912

Step by Step Solution

1. Step 1: Write the proportion equation
   77,034 : 114,912 = 114,912 : x
2. Step 2: Convert to fraction form
   77,034/114,912 = 114,912/x
3. Step 3: Cross multiply
   77,034x = 114,912 × 114,912
4. Step 4: Simplify right side
   77,034x = 13,204,767,744
5. Step 5: Solve for x
   x = 13,204,767,744/77,034
6. Step 6: Final answer
   x = 171,414.80