Finding the Third Proportional to 194,814 and 292,227.75

Step by Step Solution

1. Step 1: Write the proportion equation
   194,814 : 292,227.75 = 292,227.75 : x
2. Step 2: Convert to fraction form
   194,814/292,227.75 = 292,227.75/x
3. Step 3: Cross multiply
   194,814x = 292,227.75 × 292,227.75
4. Step 4: Simplify right side
   194,814x = 85,397,057,870.06
5. Step 5: Solve for x
   x = 85,397,057,870.06/194,814
6. Step 6: Final answer
   x = 438,351.75