Finding the Third Proportional to 257,527 and 378,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,527 : 378,845.50 = 378,845.50 : x
2. Step 2: Convert to fraction form
   257,527/378,845.50 = 378,845.50/x
3. Step 3: Cross multiply
   257,527x = 378,845.50 × 378,845.50
4. Step 4: Simplify right side
   257,527x = 143,523,912,870.25
5. Step 5: Solve for x
   x = 143,523,912,870.25/257,527
6. Step 6: Final answer
   x = 557,315.98