Finding the Third Proportional to 89,525 and 195,034

Step by Step Solution

1. Step 1: Write the proportion equation
   89,525 : 195,034 = 195,034 : x
2. Step 2: Convert to fraction form
   89,525/195,034 = 195,034/x
3. Step 3: Cross multiply
   89,525x = 195,034 × 195,034
4. Step 4: Simplify right side
   89,525x = 38,038,261,156
5. Step 5: Solve for x
   x = 38,038,261,156/89,525
6. Step 6: Final answer
   x = 424,889.82