Finding the Third Proportional to 55,384 and 118,642

Step by Step Solution

1. Step 1: Write the proportion equation
   55,384 : 118,642 = 118,642 : x
2. Step 2: Convert to fraction form
   55,384/118,642 = 118,642/x
3. Step 3: Cross multiply
   55,384x = 118,642 × 118,642
4. Step 4: Simplify right side
   55,384x = 14,075,924,164
5. Step 5: Solve for x
   x = 14,075,924,164/55,384
6. Step 6: Final answer
   x = 254,151.45