Finding the Third Proportional to 89,318 and 142,178

Step by Step Solution

1. Step 1: Write the proportion equation
   89,318 : 142,178 = 142,178 : x
2. Step 2: Convert to fraction form
   89,318/142,178 = 142,178/x
3. Step 3: Cross multiply
   89,318x = 142,178 × 142,178
4. Step 4: Simplify right side
   89,318x = 20,214,583,684
5. Step 5: Solve for x
   x = 20,214,583,684/89,318
6. Step 6: Final answer
   x = 226,321.50