Finding the Third Proportional to 89,981 and 193,053

Step by Step Solution

1. Step 1: Write the proportion equation
   89,981 : 193,053 = 193,053 : x
2. Step 2: Convert to fraction form
   89,981/193,053 = 193,053/x
3. Step 3: Cross multiply
   89,981x = 193,053 × 193,053
4. Step 4: Simplify right side
   89,981x = 37,269,460,809
5. Step 5: Solve for x
   x = 37,269,460,809/89,981
6. Step 6: Final answer
   x = 414,192.56