Finding the Third Proportional to 83,820 and 170,070

Step by Step Solution

1. Step 1: Write the proportion equation
   83,820 : 170,070 = 170,070 : x
2. Step 2: Convert to fraction form
   83,820/170,070 = 170,070/x
3. Step 3: Cross multiply
   83,820x = 170,070 × 170,070
4. Step 4: Simplify right side
   83,820x = 28,923,804,900
5. Step 5: Solve for x
   x = 28,923,804,900/83,820
6. Step 6: Final answer
   x = 345,070.45