Finding the Third Proportional to 98,654 and 213,074

Step by Step Solution

1. Step 1: Write the proportion equation
   98,654 : 213,074 = 213,074 : x
2. Step 2: Convert to fraction form
   98,654/213,074 = 213,074/x
3. Step 3: Cross multiply
   98,654x = 213,074 × 213,074
4. Step 4: Simplify right side
   98,654x = 45,400,529,476
5. Step 5: Solve for x
   x = 45,400,529,476/98,654
6. Step 6: Final answer
   x = 460,199.58