Finding the Third Proportional to 75,824 and 116,054

Step by Step Solution

1. Step 1: Write the proportion equation
   75,824 : 116,054 = 116,054 : x
2. Step 2: Convert to fraction form
   75,824/116,054 = 116,054/x
3. Step 3: Cross multiply
   75,824x = 116,054 × 116,054
4. Step 4: Simplify right side
   75,824x = 13,468,530,916
5. Step 5: Solve for x
   x = 13,468,530,916/75,824
6. Step 6: Final answer
   x = 177,628.86