Finding the Third Proportional to 140,967 and 304,097.63

Step by Step Solution

1. Step 1: Write the proportion equation
   140,967 : 304,097.63 = 304,097.63 : x
2. Step 2: Convert to fraction form
   140,967/304,097.63 = 304,097.63/x
3. Step 3: Cross multiply
   140,967x = 304,097.63 × 304,097.63
4. Step 4: Simplify right side
   140,967x = 92,475,365,530.64
5. Step 5: Solve for x
   x = 92,475,365,530.64/140,967
6. Step 6: Final answer
   x = 656,007.19