Finding the Third Proportional to 77,149.50 and 116,544

Step by Step Solution

1. Step 1: Write the proportion equation
   77,149.50 : 116,544 = 116,544 : x
2. Step 2: Convert to fraction form
   77,149.50/116,544 = 116,544/x
3. Step 3: Cross multiply
   77,149.50x = 116,544 × 116,544
4. Step 4: Simplify right side
   77,149.50x = 13,582,503,936
5. Step 5: Solve for x
   x = 13,582,503,936/77,149.50
6. Step 6: Final answer
   x = 176,054.34