Finding the Third Proportional to 119,538 and 257,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,538 : 257,518.50 = 257,518.50 : x
2. Step 2: Convert to fraction form
   119,538/257,518.50 = 257,518.50/x
3. Step 3: Cross multiply
   119,538x = 257,518.50 × 257,518.50
4. Step 4: Simplify right side
   119,538x = 66,315,777,842.25
5. Step 5: Solve for x
   x = 66,315,777,842.25/119,538
6. Step 6: Final answer
   x = 554,767.34