Finding the Third Proportional to 254,178 and 501,977.25

Step by Step Solution

1. Step 1: Write the proportion equation
   254,178 : 501,977.25 = 501,977.25 : x
2. Step 2: Convert to fraction form
   254,178/501,977.25 = 501,977.25/x
3. Step 3: Cross multiply
   254,178x = 501,977.25 × 501,977.25
4. Step 4: Simplify right side
   254,178x = 251,981,159,517.56
5. Step 5: Solve for x
   x = 251,981,159,517.56/254,178
6. Step 6: Final answer
   x = 991,357.08