Finding the Third Proportional to 76,205 and 116,504

Step by Step Solution

1. Step 1: Write the proportion equation
   76,205 : 116,504 = 116,504 : x
2. Step 2: Convert to fraction form
   76,205/116,504 = 116,504/x
3. Step 3: Cross multiply
   76,205x = 116,504 × 116,504
4. Step 4: Simplify right side
   76,205x = 13,573,182,016
5. Step 5: Solve for x
   x = 13,573,182,016/76,205
6. Step 6: Final answer
   x = 178,114.06