Finding the Third Proportional to 117,687 and 177,630.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,687 : 177,630.75 = 177,630.75 : x
2. Step 2: Convert to fraction form
   117,687/177,630.75 = 177,630.75/x
3. Step 3: Cross multiply
   117,687x = 177,630.75 × 177,630.75
4. Step 4: Simplify right side
   117,687x = 31,552,683,345.56
5. Step 5: Solve for x
   x = 31,552,683,345.56/117,687
6. Step 6: Final answer
   x = 268,106.79