Finding the Third Proportional to 210,294 and 461,302

Step by Step Solution

1. Step 1: Write the proportion equation
   210,294 : 461,302 = 461,302 : x
2. Step 2: Convert to fraction form
   210,294/461,302 = 461,302/x
3. Step 3: Cross multiply
   210,294x = 461,302 × 461,302
4. Step 4: Simplify right side
   210,294x = 212,799,535,204
5. Step 5: Solve for x
   x = 212,799,535,204/210,294
6. Step 6: Final answer
   x = 1,011,914.44