Finding the Third Proportional to 116,942 and 176,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,942 : 176,465.50 = 176,465.50 : x
2. Step 2: Convert to fraction form
   116,942/176,465.50 = 176,465.50/x
3. Step 3: Cross multiply
   116,942x = 176,465.50 × 176,465.50
4. Step 4: Simplify right side
   116,942x = 31,140,072,690.25
5. Step 5: Solve for x
   x = 31,140,072,690.25/116,942
6. Step 6: Final answer
   x = 266,286.47