Finding the Third Proportional to 117,667.69 and 177,607.69

Step by Step Solution

1. Step 1: Write the proportion equation
   117,667.69 : 177,607.69 = 177,607.69 : x
2. Step 2: Convert to fraction form
   117,667.69/177,607.69 = 177,607.69/x
3. Step 3: Cross multiply
   117,667.69x = 177,607.69 × 177,607.69
4. Step 4: Simplify right side
   117,667.69x = 31,544,490,659.10
5. Step 5: Solve for x
   x = 31,544,490,659.10/117,667.69
6. Step 6: Final answer
   x = 268,081.16