Finding the Third Proportional to 187,869 and 382,300

Step by Step Solution

1. Step 1: Write the proportion equation
   187,869 : 382,300 = 382,300 : x
2. Step 2: Convert to fraction form
   187,869/382,300 = 382,300/x
3. Step 3: Cross multiply
   187,869x = 382,300 × 382,300
4. Step 4: Simplify right side
   187,869x = 146,153,290,000
5. Step 5: Solve for x
   x = 146,153,290,000/187,869
6. Step 6: Final answer
   x = 777,953.20