Finding the Third Proportional to 116,940 and 176,468.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,940 : 176,468.25 = 176,468.25 : x
2. Step 2: Convert to fraction form
   116,940/176,468.25 = 176,468.25/x
3. Step 3: Cross multiply
   116,940x = 176,468.25 × 176,468.25
4. Step 4: Simplify right side
   116,940x = 31,141,043,258.06
5. Step 5: Solve for x
   x = 31,141,043,258.06/116,940
6. Step 6: Final answer
   x = 266,299.33