Finding the Third Proportional to 212,097 and 461,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,097 : 461,008.50 = 461,008.50 : x
2. Step 2: Convert to fraction form
   212,097/461,008.50 = 461,008.50/x
3. Step 3: Cross multiply
   212,097x = 461,008.50 × 461,008.50
4. Step 4: Simplify right side
   212,097x = 212,528,837,072.25
5. Step 5: Solve for x
   x = 212,528,837,072.25/212,097
6. Step 6: Final answer
   x = 1,002,036.04