Finding the Third Proportional to 116,424 and 176,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,424 : 176,998.50 = 176,998.50 : x
2. Step 2: Convert to fraction form
   116,424/176,998.50 = 176,998.50/x
3. Step 3: Cross multiply
   116,424x = 176,998.50 × 176,998.50
4. Step 4: Simplify right side
   116,424x = 31,328,469,002.25
5. Step 5: Solve for x
   x = 31,328,469,002.25/116,424
6. Step 6: Final answer
   x = 269,089.44