Finding the Third Proportional to 142,185 and 329,164

Step by Step Solution

1. Step 1: Write the proportion equation
   142,185 : 329,164 = 329,164 : x
2. Step 2: Convert to fraction form
   142,185/329,164 = 329,164/x
3. Step 3: Cross multiply
   142,185x = 329,164 × 329,164
4. Step 4: Simplify right side
   142,185x = 108,348,938,896
5. Step 5: Solve for x
   x = 108,348,938,896/142,185
6. Step 6: Final answer
   x = 762,027.91