Finding the Third Proportional to 213,080 and 467,632

Step by Step Solution

1. Step 1: Write the proportion equation
   213,080 : 467,632 = 467,632 : x
2. Step 2: Convert to fraction form
   213,080/467,632 = 467,632/x
3. Step 3: Cross multiply
   213,080x = 467,632 × 467,632
4. Step 4: Simplify right side
   213,080x = 218,679,687,424
5. Step 5: Solve for x
   x = 218,679,687,424/213,080
6. Step 6: Final answer
   x = 1,026,279.74