Finding the Third Proportional to 210,196 and 461,272

Step by Step Solution

1. Step 1: Write the proportion equation
   210,196 : 461,272 = 461,272 : x
2. Step 2: Convert to fraction form
   210,196/461,272 = 461,272/x
3. Step 3: Cross multiply
   210,196x = 461,272 × 461,272
4. Step 4: Simplify right side
   210,196x = 212,771,857,984
5. Step 5: Solve for x
   x = 212,771,857,984/210,196
6. Step 6: Final answer
   x = 1,012,254.55