Finding the Third Proportional to 115,752 and 253,662

Step by Step Solution

1. Step 1: Write the proportion equation
   115,752 : 253,662 = 253,662 : x
2. Step 2: Convert to fraction form
   115,752/253,662 = 253,662/x
3. Step 3: Cross multiply
   115,752x = 253,662 × 253,662
4. Step 4: Simplify right side
   115,752x = 64,344,410,244
5. Step 5: Solve for x
   x = 64,344,410,244/115,752
6. Step 6: Final answer
   x = 555,881.63