Finding the Third Proportional to 83,509 and 147,179

Step by Step Solution

1. Step 1: Write the proportion equation
   83,509 : 147,179 = 147,179 : x
2. Step 2: Convert to fraction form
   83,509/147,179 = 147,179/x
3. Step 3: Cross multiply
   83,509x = 147,179 × 147,179
4. Step 4: Simplify right side
   83,509x = 21,661,658,041
5. Step 5: Solve for x
   x = 21,661,658,041/83,509
6. Step 6: Final answer
   x = 259,393.10