Finding the Third Proportional to 142,164 and 329,112

Step by Step Solution

1. Step 1: Write the proportion equation
   142,164 : 329,112 = 329,112 : x
2. Step 2: Convert to fraction form
   142,164/329,112 = 329,112/x
3. Step 3: Cross multiply
   142,164x = 329,112 × 329,112
4. Step 4: Simplify right side
   142,164x = 108,314,708,544
5. Step 5: Solve for x
   x = 108,314,708,544/142,164
6. Step 6: Final answer
   x = 761,899.70