Finding the Third Proportional to 119,310 and 257,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,310 : 257,302.50 = 257,302.50 : x
2. Step 2: Convert to fraction form
   119,310/257,302.50 = 257,302.50/x
3. Step 3: Cross multiply
   119,310x = 257,302.50 × 257,302.50
4. Step 4: Simplify right side
   119,310x = 66,204,576,506.25
5. Step 5: Solve for x
   x = 66,204,576,506.25/119,310
6. Step 6: Final answer
   x = 554,895.45