Finding the Third Proportional to 82,514 and 143,859

Step by Step Solution

1. Step 1: Write the proportion equation
   82,514 : 143,859 = 143,859 : x
2. Step 2: Convert to fraction form
   82,514/143,859 = 143,859/x
3. Step 3: Cross multiply
   82,514x = 143,859 × 143,859
4. Step 4: Simplify right side
   82,514x = 20,695,411,881
5. Step 5: Solve for x
   x = 20,695,411,881/82,514
6. Step 6: Final answer
   x = 250,810.92