Finding the Third Proportional to 89,316 and 142,174

Step by Step Solution

1. Step 1: Write the proportion equation
   89,316 : 142,174 = 142,174 : x
2. Step 2: Convert to fraction form
   89,316/142,174 = 142,174/x
3. Step 3: Cross multiply
   89,316x = 142,174 × 142,174
4. Step 4: Simplify right side
   89,316x = 20,213,446,276
5. Step 5: Solve for x
   x = 20,213,446,276/89,316
6. Step 6: Final answer
   x = 226,313.83