Finding the Third Proportional to 116,109 and 173,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,109 : 173,731.50 = 173,731.50 : x
2. Step 2: Convert to fraction form
   116,109/173,731.50 = 173,731.50/x
3. Step 3: Cross multiply
   116,109x = 173,731.50 × 173,731.50
4. Step 4: Simplify right side
   116,109x = 30,182,634,092.25
5. Step 5: Solve for x
   x = 30,182,634,092.25/116,109
6. Step 6: Final answer
   x = 259,950.86