Finding the Third Proportional to 190,944 and 377,066

Step by Step Solution

1. Step 1: Write the proportion equation
   190,944 : 377,066 = 377,066 : x
2. Step 2: Convert to fraction form
   190,944/377,066 = 377,066/x
3. Step 3: Cross multiply
   190,944x = 377,066 × 377,066
4. Step 4: Simplify right side
   190,944x = 142,178,768,356
5. Step 5: Solve for x
   x = 142,178,768,356/190,944
6. Step 6: Final answer
   x = 744,609.77