Finding the Third Proportional to 89,924 and 192,970

Step by Step Solution

1. Step 1: Write the proportion equation
   89,924 : 192,970 = 192,970 : x
2. Step 2: Convert to fraction form
   89,924/192,970 = 192,970/x
3. Step 3: Cross multiply
   89,924x = 192,970 × 192,970
4. Step 4: Simplify right side
   89,924x = 37,237,420,900
5. Step 5: Solve for x
   x = 37,237,420,900/89,924
6. Step 6: Final answer
   x = 414,098.80