Finding the Third Proportional to 116,633.25 and 174,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,633.25 : 174,919.50 = 174,919.50 : x
2. Step 2: Convert to fraction form
   116,633.25/174,919.50 = 174,919.50/x
3. Step 3: Cross multiply
   116,633.25x = 174,919.50 × 174,919.50
4. Step 4: Simplify right side
   116,633.25x = 30,596,831,480.25
5. Step 5: Solve for x
   x = 30,596,831,480.25/116,633.25
6. Step 6: Final answer
   x = 262,333.70