Finding the Third Proportional to 89,940 and 195,432

Step by Step Solution

1. Step 1: Write the proportion equation
   89,940 : 195,432 = 195,432 : x
2. Step 2: Convert to fraction form
   89,940/195,432 = 195,432/x
3. Step 3: Cross multiply
   89,940x = 195,432 × 195,432
4. Step 4: Simplify right side
   89,940x = 38,193,666,624
5. Step 5: Solve for x
   x = 38,193,666,624/89,940
6. Step 6: Final answer
   x = 424,657.18