Finding the Third Proportional to 98,661 and 213,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,661 : 213,085.50 = 213,085.50 : x
2. Step 2: Convert to fraction form
   98,661/213,085.50 = 213,085.50/x
3. Step 3: Cross multiply
   98,661x = 213,085.50 × 213,085.50
4. Step 4: Simplify right side
   98,661x = 45,405,430,310.25
5. Step 5: Solve for x
   x = 45,405,430,310.25/98,661
6. Step 6: Final answer
   x = 460,216.60