Finding the Third Proportional to 45,588 and 98,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,588 : 98,464.50 = 98,464.50 : x
2. Step 2: Convert to fraction form
   45,588/98,464.50 = 98,464.50/x
3. Step 3: Cross multiply
   45,588x = 98,464.50 × 98,464.50
4. Step 4: Simplify right side
   45,588x = 9,695,257,760.25
5. Step 5: Solve for x
   x = 9,695,257,760.25/45,588
6. Step 6: Final answer
   x = 212,671.27