Finding the Third Proportional to 89,320 and 194,138

Step by Step Solution

1. Step 1: Write the proportion equation
   89,320 : 194,138 = 194,138 : x
2. Step 2: Convert to fraction form
   89,320/194,138 = 194,138/x
3. Step 3: Cross multiply
   89,320x = 194,138 × 194,138
4. Step 4: Simplify right side
   89,320x = 37,689,563,044
5. Step 5: Solve for x
   x = 37,689,563,044/89,320
6. Step 6: Final answer
   x = 421,961.07