Finding the Third Proportional to 257,484 and 377,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,484 : 377,008.50 = 377,008.50 : x
2. Step 2: Convert to fraction form
   257,484/377,008.50 = 377,008.50/x
3. Step 3: Cross multiply
   257,484x = 377,008.50 × 377,008.50
4. Step 4: Simplify right side
   257,484x = 142,135,409,072.25
5. Step 5: Solve for x
   x = 142,135,409,072.25/257,484
6. Step 6: Final answer
   x = 552,016.47