Finding the Third Proportional to 98,590 and 213,788

Step by Step Solution

1. Step 1: Write the proportion equation
   98,590 : 213,788 = 213,788 : x
2. Step 2: Convert to fraction form
   98,590/213,788 = 213,788/x
3. Step 3: Cross multiply
   98,590x = 213,788 × 213,788
4. Step 4: Simplify right side
   98,590x = 45,705,308,944
5. Step 5: Solve for x
   x = 45,705,308,944/98,590
6. Step 6: Final answer
   x = 463,589.70