Finding the Third Proportional to 89,658 and 195,115.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,658 : 195,115.50 = 195,115.50 : x
2. Step 2: Convert to fraction form
   89,658/195,115.50 = 195,115.50/x
3. Step 3: Cross multiply
   89,658x = 195,115.50 × 195,115.50
4. Step 4: Simplify right side
   89,658x = 38,070,058,340.25
5. Step 5: Solve for x
   x = 38,070,058,340.25/89,658
6. Step 6: Final answer
   x = 424,614.18