Finding the Third Proportional to 82,513.69 and 147,850.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82,513.69 : 147,850.31 = 147,850.31 : x
2. Step 2: Convert to fraction form
   82,513.69/147,850.31 = 147,850.31/x
3. Step 3: Cross multiply
   82,513.69x = 147,850.31 × 147,850.31
4. Step 4: Simplify right side
   82,513.69x = 21,859,714,906.35
5. Step 5: Solve for x
   x = 21,859,714,906.35/82,513.69
6. Step 6: Final answer
   x = 264,922.29