Finding the Third Proportional to 98,984 and 215,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,984 : 215,834.50 = 215,834.50 : x
2. Step 2: Convert to fraction form
   98,984/215,834.50 = 215,834.50/x
3. Step 3: Cross multiply
   98,984x = 215,834.50 × 215,834.50
4. Step 4: Simplify right side
   98,984x = 46,584,531,390.25
5. Step 5: Solve for x
   x = 46,584,531,390.25/98,984
6. Step 6: Final answer
   x = 470,626.88