Finding the Third Proportional to 118,266 and 176,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,266 : 176,935.50 = 176,935.50 : x
2. Step 2: Convert to fraction form
   118,266/176,935.50 = 176,935.50/x
3. Step 3: Cross multiply
   118,266x = 176,935.50 × 176,935.50
4. Step 4: Simplify right side
   118,266x = 31,306,171,160.25
5. Step 5: Solve for x
   x = 31,306,171,160.25/118,266
6. Step 6: Final answer
   x = 264,709.82