Finding the Third Proportional to 218,832 and 357,300

Step by Step Solution

1. Step 1: Write the proportion equation
   218,832 : 357,300 = 357,300 : x
2. Step 2: Convert to fraction form
   218,832/357,300 = 357,300/x
3. Step 3: Cross multiply
   218,832x = 357,300 × 357,300
4. Step 4: Simplify right side
   218,832x = 127,663,290,000
5. Step 5: Solve for x
   x = 127,663,290,000/218,832
6. Step 6: Final answer
   x = 583,384.93