Finding the Third Proportional to 90,536 and 199,120

Step by Step Solution

1. Step 1: Write the proportion equation
   90,536 : 199,120 = 199,120 : x
2. Step 2: Convert to fraction form
   90,536/199,120 = 199,120/x
3. Step 3: Cross multiply
   90,536x = 199,120 × 199,120
4. Step 4: Simplify right side
   90,536x = 39,648,774,400
5. Step 5: Solve for x
   x = 39,648,774,400/90,536
6. Step 6: Final answer
   x = 437,933.80