Finding the Third Proportional to 89,140 and 193,640

Step by Step Solution

1. Step 1: Write the proportion equation
   89,140 : 193,640 = 193,640 : x
2. Step 2: Convert to fraction form
   89,140/193,640 = 193,640/x
3. Step 3: Cross multiply
   89,140x = 193,640 × 193,640
4. Step 4: Simplify right side
   89,140x = 37,496,449,600
5. Step 5: Solve for x
   x = 37,496,449,600/89,140
6. Step 6: Final answer
   x = 420,646.73