Finding the Third Proportional to 213,052 and 466,190

Step by Step Solution

1. Step 1: Write the proportion equation
   213,052 : 466,190 = 466,190 : x
2. Step 2: Convert to fraction form
   213,052/466,190 = 466,190/x
3. Step 3: Cross multiply
   213,052x = 466,190 × 466,190
4. Step 4: Simplify right side
   213,052x = 217,333,116,100
5. Step 5: Solve for x
   x = 217,333,116,100/213,052
6. Step 6: Final answer
   x = 1,020,094.23