Finding the Third Proportional to 89,594 and 195,604

Step by Step Solution

1. Step 1: Write the proportion equation
   89,594 : 195,604 = 195,604 : x
2. Step 2: Convert to fraction form
   89,594/195,604 = 195,604/x
3. Step 3: Cross multiply
   89,594x = 195,604 × 195,604
4. Step 4: Simplify right side
   89,594x = 38,260,924,816
5. Step 5: Solve for x
   x = 38,260,924,816/89,594
6. Step 6: Final answer
   x = 427,047.85