Finding the Third Proportional to 115,938 and 175,520.25

Step by Step Solution

1. Step 1: Write the proportion equation
   115,938 : 175,520.25 = 175,520.25 : x
2. Step 2: Convert to fraction form
   115,938/175,520.25 = 175,520.25/x
3. Step 3: Cross multiply
   115,938x = 175,520.25 × 175,520.25
4. Step 4: Simplify right side
   115,938x = 30,807,358,160.06
5. Step 5: Solve for x
   x = 30,807,358,160.06/115,938
6. Step 6: Final answer
   x = 265,722.70