Finding the Third Proportional to 116,149 and 173,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,149 : 173,767.50 = 173,767.50 : x
2. Step 2: Convert to fraction form
   116,149/173,767.50 = 173,767.50/x
3. Step 3: Cross multiply
   116,149x = 173,767.50 × 173,767.50
4. Step 4: Simplify right side
   116,149x = 30,195,144,056.25
5. Step 5: Solve for x
   x = 30,195,144,056.25/116,149
6. Step 6: Final answer
   x = 259,969.04