Finding the Third Proportional to 119,532 and 257,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,532 : 257,506.50 = 257,506.50 : x
2. Step 2: Convert to fraction form
   119,532/257,506.50 = 257,506.50/x
3. Step 3: Cross multiply
   119,532x = 257,506.50 × 257,506.50
4. Step 4: Simplify right side
   119,532x = 66,309,597,542.25
5. Step 5: Solve for x
   x = 66,309,597,542.25/119,532
6. Step 6: Final answer
   x = 554,743.48