Finding the Third Proportional to 115,695 and 174,774.75

Step by Step Solution

1. Step 1: Write the proportion equation
   115,695 : 174,774.75 = 174,774.75 : x
2. Step 2: Convert to fraction form
   115,695/174,774.75 = 174,774.75/x
3. Step 3: Cross multiply
   115,695x = 174,774.75 × 174,774.75
4. Step 4: Simplify right side
   115,695x = 30,546,213,237.56
5. Step 5: Solve for x
   x = 30,546,213,237.56/115,695
6. Step 6: Final answer
   x = 264,023.62