Finding the Third Proportional to 70,164 and 108,830

Step by Step Solution

1. Step 1: Write the proportion equation
   70,164 : 108,830 = 108,830 : x
2. Step 2: Convert to fraction form
   70,164/108,830 = 108,830/x
3. Step 3: Cross multiply
   70,164x = 108,830 × 108,830
4. Step 4: Simplify right side
   70,164x = 11,843,968,900
5. Step 5: Solve for x
   x = 11,843,968,900/70,164
6. Step 6: Final answer
   x = 168,804.07