Finding the Third Proportional to 89,410 and 193,340

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410 : 193,340 = 193,340 : x
2. Step 2: Convert to fraction form
   89,410/193,340 = 193,340/x
3. Step 3: Cross multiply
   89,410x = 193,340 × 193,340
4. Step 4: Simplify right side
   89,410x = 37,380,355,600
5. Step 5: Solve for x
   x = 37,380,355,600/89,410
6. Step 6: Final answer
   x = 418,078.02