Finding the Third Proportional to 117,696 and 180,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,696 : 180,076.50 = 180,076.50 : x
2. Step 2: Convert to fraction form
   117,696/180,076.50 = 180,076.50/x
3. Step 3: Cross multiply
   117,696x = 180,076.50 × 180,076.50
4. Step 4: Simplify right side
   117,696x = 32,427,545,852.25
5. Step 5: Solve for x
   x = 32,427,545,852.25/117,696
6. Step 6: Final answer
   x = 275,519.52