Finding the Third Proportional to 117,996 and 176,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,996 : 176,959.50 = 176,959.50 : x
2. Step 2: Convert to fraction form
   117,996/176,959.50 = 176,959.50/x
3. Step 3: Cross multiply
   117,996x = 176,959.50 × 176,959.50
4. Step 4: Simplify right side
   117,996x = 31,314,664,640.25
5. Step 5: Solve for x
   x = 31,314,664,640.25/117,996
6. Step 6: Final answer
   x = 265,387.51