Finding the Third Proportional to 116,538 and 176,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,538 : 176,383.50 = 176,383.50 : x
2. Step 2: Convert to fraction form
   116,538/176,383.50 = 176,383.50/x
3. Step 3: Cross multiply
   116,538x = 176,383.50 × 176,383.50
4. Step 4: Simplify right side
   116,538x = 31,111,139,072.25
5. Step 5: Solve for x
   x = 31,111,139,072.25/116,538
6. Step 6: Final answer
   x = 266,961.33