Finding the Third Proportional to 89,352 and 194,721.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,352 : 194,721.75 = 194,721.75 : x
2. Step 2: Convert to fraction form
   89,352/194,721.75 = 194,721.75/x
3. Step 3: Cross multiply
   89,352x = 194,721.75 × 194,721.75
4. Step 4: Simplify right side
   89,352x = 37,916,559,923.06
5. Step 5: Solve for x
   x = 37,916,559,923.06/89,352
6. Step 6: Final answer
   x = 424,350.43