Finding the Third Proportional to 89,222 and 193,146

Step by Step Solution

1. Step 1: Write the proportion equation
   89,222 : 193,146 = 193,146 : x
2. Step 2: Convert to fraction form
   89,222/193,146 = 193,146/x
3. Step 3: Cross multiply
   89,222x = 193,146 × 193,146
4. Step 4: Simplify right side
   89,222x = 37,305,377,316
5. Step 5: Solve for x
   x = 37,305,377,316/89,222
6. Step 6: Final answer
   x = 418,118.60