Finding the Third Proportional to 90,597 and 213,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,597 : 213,175.50 = 213,175.50 : x
2. Step 2: Convert to fraction form
   90,597/213,175.50 = 213,175.50/x
3. Step 3: Cross multiply
   90,597x = 213,175.50 × 213,175.50
4. Step 4: Simplify right side
   90,597x = 45,443,793,800.25
5. Step 5: Solve for x
   x = 45,443,793,800.25/90,597
6. Step 6: Final answer
   x = 501,603.74