Finding the Third Proportional to 212,080 and 461,475.75

Step by Step Solution

1. Step 1: Write the proportion equation
   212,080 : 461,475.75 = 461,475.75 : x
2. Step 2: Convert to fraction form
   212,080/461,475.75 = 461,475.75/x
3. Step 3: Cross multiply
   212,080x = 461,475.75 × 461,475.75
4. Step 4: Simplify right side
   212,080x = 212,959,867,838.06
5. Step 5: Solve for x
   x = 212,959,867,838.06/212,080
6. Step 6: Final answer
   x = 1,004,148.75