Finding the Third Proportional to 76,480 and 118,144

Step by Step Solution

1. Step 1: Write the proportion equation
   76,480 : 118,144 = 118,144 : x
2. Step 2: Convert to fraction form
   76,480/118,144 = 118,144/x
3. Step 3: Cross multiply
   76,480x = 118,144 × 118,144
4. Step 4: Simplify right side
   76,480x = 13,958,004,736
5. Step 5: Solve for x
   x = 13,958,004,736/76,480
6. Step 6: Final answer
   x = 182,505.29