Finding the Third Proportional to 98,679 and 213,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,679 : 213,142.50 = 213,142.50 : x
2. Step 2: Convert to fraction form
   98,679/213,142.50 = 213,142.50/x
3. Step 3: Cross multiply
   98,679x = 213,142.50 × 213,142.50
4. Step 4: Simplify right side
   98,679x = 45,429,725,306.25
5. Step 5: Solve for x
   x = 45,429,725,306.25/98,679
6. Step 6: Final answer
   x = 460,378.86