Finding the Third Proportional to 117,696 and 177,648.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,696 : 177,648.75 = 177,648.75 : x
2. Step 2: Convert to fraction form
   117,696/177,648.75 = 177,648.75/x
3. Step 3: Cross multiply
   117,696x = 177,648.75 × 177,648.75
4. Step 4: Simplify right side
   117,696x = 31,559,078,376.56
5. Step 5: Solve for x
   x = 31,559,078,376.56/117,696
6. Step 6: Final answer
   x = 268,140.62