Finding the Third Proportional to 115,971 and 175,108.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,971 : 175,108.50 = 175,108.50 : x
2. Step 2: Convert to fraction form
   115,971/175,108.50 = 175,108.50/x
3. Step 3: Cross multiply
   115,971x = 175,108.50 × 175,108.50
4. Step 4: Simplify right side
   115,971x = 30,662,986,772.25
5. Step 5: Solve for x
   x = 30,662,986,772.25/115,971
6. Step 6: Final answer
   x = 264,402.19