Finding the Third Proportional to 115,764 and 173,614

Step by Step Solution

1. Step 1: Write the proportion equation
   115,764 : 173,614 = 173,614 : x
2. Step 2: Convert to fraction form
   115,764/173,614 = 173,614/x
3. Step 3: Cross multiply
   115,764x = 173,614 × 173,614
4. Step 4: Simplify right side
   115,764x = 30,141,820,996
5. Step 5: Solve for x
   x = 30,141,820,996/115,764
6. Step 6: Final answer
   x = 260,373.01