Finding the Third Proportional to 98,434 and 214,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,434 : 214,911.50 = 214,911.50 : x
2. Step 2: Convert to fraction form
   98,434/214,911.50 = 214,911.50/x
3. Step 3: Cross multiply
   98,434x = 214,911.50 × 214,911.50
4. Step 4: Simplify right side
   98,434x = 46,186,952,832.25
5. Step 5: Solve for x
   x = 46,186,952,832.25/98,434
6. Step 6: Final answer
   x = 469,217.47