Finding the Third Proportional to 89,473 and 194,930

Step by Step Solution

1. Step 1: Write the proportion equation
   89,473 : 194,930 = 194,930 : x
2. Step 2: Convert to fraction form
   89,473/194,930 = 194,930/x
3. Step 3: Cross multiply
   89,473x = 194,930 × 194,930
4. Step 4: Simplify right side
   89,473x = 37,997,704,900
5. Step 5: Solve for x
   x = 37,997,704,900/89,473
6. Step 6: Final answer
   x = 424,683.48