Finding the Third Proportional to 257,637 and 378,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,637 : 378,994.50 = 378,994.50 : x
2. Step 2: Convert to fraction form
   257,637/378,994.50 = 378,994.50/x
3. Step 3: Cross multiply
   257,637x = 378,994.50 × 378,994.50
4. Step 4: Simplify right side
   257,637x = 143,636,831,030.25
5. Step 5: Solve for x
   x = 143,636,831,030.25/257,637
6. Step 6: Final answer
   x = 557,516.32