Finding the Third Proportional to 98,739 and 213,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,739 : 213,880.50 = 213,880.50 : x
2. Step 2: Convert to fraction form
   98,739/213,880.50 = 213,880.50/x
3. Step 3: Cross multiply
   98,739x = 213,880.50 × 213,880.50
4. Step 4: Simplify right side
   98,739x = 45,744,868,280.25
5. Step 5: Solve for x
   x = 45,744,868,280.25/98,739
6. Step 6: Final answer
   x = 463,290.78