Finding the Third Proportional to 116,966 and 176,501

Step by Step Solution

1. Step 1: Write the proportion equation
   116,966 : 176,501 = 176,501 : x
2. Step 2: Convert to fraction form
   116,966/176,501 = 176,501/x
3. Step 3: Cross multiply
   116,966x = 176,501 × 176,501
4. Step 4: Simplify right side
   116,966x = 31,152,603,001
5. Step 5: Solve for x
   x = 31,152,603,001/116,966
6. Step 6: Final answer
   x = 266,338.96