Finding the Third Proportional to 78,066 and 116,235

Step by Step Solution

1. Step 1: Write the proportion equation
   78,066 : 116,235 = 116,235 : x
2. Step 2: Convert to fraction form
   78,066/116,235 = 116,235/x
3. Step 3: Cross multiply
   78,066x = 116,235 × 116,235
4. Step 4: Simplify right side
   78,066x = 13,510,575,225
5. Step 5: Solve for x
   x = 13,510,575,225/78,066
6. Step 6: Final answer
   x = 173,066.06