Finding the Third Proportional to 257,483.25 and 377,007

Step by Step Solution

1. Step 1: Write the proportion equation
   257,483.25 : 377,007 = 377,007 : x
2. Step 2: Convert to fraction form
   257,483.25/377,007 = 377,007/x
3. Step 3: Cross multiply
   257,483.25x = 377,007 × 377,007
4. Step 4: Simplify right side
   257,483.25x = 142,134,278,049
5. Step 5: Solve for x
   x = 142,134,278,049/257,483.25
6. Step 6: Final answer
   x = 552,013.69