Finding the Third Proportional to 98,666 and 213,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,666 : 213,963.50 = 213,963.50 : x
2. Step 2: Convert to fraction form
   98,666/213,963.50 = 213,963.50/x
3. Step 3: Cross multiply
   98,666x = 213,963.50 × 213,963.50
4. Step 4: Simplify right side
   98,666x = 45,780,379,332.25
5. Step 5: Solve for x
   x = 45,780,379,332.25/98,666
6. Step 6: Final answer
   x = 463,993.47