Finding the Third Proportional to 89,034 and 210,174

Step by Step Solution

1. Step 1: Write the proportion equation
   89,034 : 210,174 = 210,174 : x
2. Step 2: Convert to fraction form
   89,034/210,174 = 210,174/x
3. Step 3: Cross multiply
   89,034x = 210,174 × 210,174
4. Step 4: Simplify right side
   89,034x = 44,173,110,276
5. Step 5: Solve for x
   x = 44,173,110,276/89,034
6. Step 6: Final answer
   x = 496,137.55