Finding the Third Proportional to 89,597.50 and 192,475

Step by Step Solution

1. Step 1: Write the proportion equation
   89,597.50 : 192,475 = 192,475 : x
2. Step 2: Convert to fraction form
   89,597.50/192,475 = 192,475/x
3. Step 3: Cross multiply
   89,597.50x = 192,475 × 192,475
4. Step 4: Simplify right side
   89,597.50x = 37,046,625,625
5. Step 5: Solve for x
   x = 37,046,625,625/89,597.50
6. Step 6: Final answer
   x = 413,478.34