Finding the Third Proportional to 90,312 and 213,210

Step by Step Solution

1. Step 1: Write the proportion equation
   90,312 : 213,210 = 213,210 : x
2. Step 2: Convert to fraction form
   90,312/213,210 = 213,210/x
3. Step 3: Cross multiply
   90,312x = 213,210 × 213,210
4. Step 4: Simplify right side
   90,312x = 45,458,504,100
5. Step 5: Solve for x
   x = 45,458,504,100/90,312
6. Step 6: Final answer
   x = 503,349.54