Finding the Third Proportional to 83,752 and 182,300

Step by Step Solution

1. Step 1: Write the proportion equation
   83,752 : 182,300 = 182,300 : x
2. Step 2: Convert to fraction form
   83,752/182,300 = 182,300/x
3. Step 3: Cross multiply
   83,752x = 182,300 × 182,300
4. Step 4: Simplify right side
   83,752x = 33,233,290,000
5. Step 5: Solve for x
   x = 33,233,290,000/83,752
6. Step 6: Final answer
   x = 396,805.93