Finding the Third Proportional to 119,902 and 257,300

Step by Step Solution

1. Step 1: Write the proportion equation
   119,902 : 257,300 = 257,300 : x
2. Step 2: Convert to fraction form
   119,902/257,300 = 257,300/x
3. Step 3: Cross multiply
   119,902x = 257,300 × 257,300
4. Step 4: Simplify right side
   119,902x = 66,203,290,000
5. Step 5: Solve for x
   x = 66,203,290,000/119,902
6. Step 6: Final answer
   x = 552,145.00