Finding the Third Proportional to 89,446.50 and 194,877

Step by Step Solution

1. Step 1: Write the proportion equation
   89,446.50 : 194,877 = 194,877 : x
2. Step 2: Convert to fraction form
   89,446.50/194,877 = 194,877/x
3. Step 3: Cross multiply
   89,446.50x = 194,877 × 194,877
4. Step 4: Simplify right side
   89,446.50x = 37,977,045,129
5. Step 5: Solve for x
   x = 37,977,045,129/89,446.50
6. Step 6: Final answer
   x = 424,578.32