Finding the Third Proportional to 213,597 and 301,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,597 : 301,117.50 = 301,117.50 : x
2. Step 2: Convert to fraction form
   213,597/301,117.50 = 301,117.50/x
3. Step 3: Cross multiply
   213,597x = 301,117.50 × 301,117.50
4. Step 4: Simplify right side
   213,597x = 90,671,748,806.25
5. Step 5: Solve for x
   x = 90,671,748,806.25/213,597
6. Step 6: Final answer
   x = 424,499.17