Finding the Third Proportional to 89,522 and 193,504

Step by Step Solution

1. Step 1: Write the proportion equation
   89,522 : 193,504 = 193,504 : x
2. Step 2: Convert to fraction form
   89,522/193,504 = 193,504/x
3. Step 3: Cross multiply
   89,522x = 193,504 × 193,504
4. Step 4: Simplify right side
   89,522x = 37,443,798,016
5. Step 5: Solve for x
   x = 37,443,798,016/89,522
6. Step 6: Final answer
   x = 418,263.64