Finding the Third Proportional to 257,485.50 and 377,010

Step by Step Solution

1. Step 1: Write the proportion equation
   257,485.50 : 377,010 = 377,010 : x
2. Step 2: Convert to fraction form
   257,485.50/377,010 = 377,010/x
3. Step 3: Cross multiply
   257,485.50x = 377,010 × 377,010
4. Step 4: Simplify right side
   257,485.50x = 142,136,540,100
5. Step 5: Solve for x
   x = 142,136,540,100/257,485.50
6. Step 6: Final answer
   x = 552,017.65