Finding the Third Proportional to 115,290 and 174,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,290 : 174,469.50 = 174,469.50 : x
2. Step 2: Convert to fraction form
   115,290/174,469.50 = 174,469.50/x
3. Step 3: Cross multiply
   115,290x = 174,469.50 × 174,469.50
4. Step 4: Simplify right side
   115,290x = 30,439,606,430.25
5. Step 5: Solve for x
   x = 30,439,606,430.25/115,290
6. Step 6: Final answer
   x = 264,026.42