Finding the Third Proportional to 116,523 and 174,723.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116,523 : 174,723.75 = 174,723.75 : x
2. Step 2: Convert to fraction form
   116,523/174,723.75 = 174,723.75/x
3. Step 3: Cross multiply
   116,523x = 174,723.75 × 174,723.75
4. Step 4: Simplify right side
   116,523x = 30,528,388,814.06
5. Step 5: Solve for x
   x = 30,528,388,814.06/116,523
6. Step 6: Final answer
   x = 261,994.53