Finding the Third Proportional to 116,499 and 176,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,499 : 176,911.50 = 176,911.50 : x
2. Step 2: Convert to fraction form
   116,499/176,911.50 = 176,911.50/x
3. Step 3: Cross multiply
   116,499x = 176,911.50 × 176,911.50
4. Step 4: Simplify right side
   116,499x = 31,297,678,832.25
5. Step 5: Solve for x
   x = 31,297,678,832.25/116,499
6. Step 6: Final answer
   x = 268,651.91