Finding the Third Proportional to 194,805 and 292,212.56

Step by Step Solution

1. Step 1: Write the proportion equation
   194,805 : 292,212.56 = 292,212.56 : x
2. Step 2: Convert to fraction form
   194,805/292,212.56 = 292,212.56/x
3. Step 3: Cross multiply
   194,805x = 292,212.56 × 292,212.56
4. Step 4: Simplify right side
   194,805x = 85,388,181,682.82
5. Step 5: Solve for x
   x = 85,388,181,682.82/194,805
6. Step 6: Final answer
   x = 438,326.44