Finding the Third Proportional to 82,384 and 147,042

Step by Step Solution

1. Step 1: Write the proportion equation
   82,384 : 147,042 = 147,042 : x
2. Step 2: Convert to fraction form
   82,384/147,042 = 147,042/x
3. Step 3: Cross multiply
   82,384x = 147,042 × 147,042
4. Step 4: Simplify right side
   82,384x = 21,621,349,764
5. Step 5: Solve for x
   x = 21,621,349,764/82,384
6. Step 6: Final answer
   x = 262,445.98