Finding the Third Proportional to 89,218 and 193,988

Step by Step Solution

1. Step 1: Write the proportion equation
   89,218 : 193,988 = 193,988 : x
2. Step 2: Convert to fraction form
   89,218/193,988 = 193,988/x
3. Step 3: Cross multiply
   89,218x = 193,988 × 193,988
4. Step 4: Simplify right side
   89,218x = 37,631,344,144
5. Step 5: Solve for x
   x = 37,631,344,144/89,218
6. Step 6: Final answer
   x = 421,790.94