Finding the Third Proportional to 45,974.25 and 98,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,974.25 : 98,509.50 = 98,509.50 : x
2. Step 2: Convert to fraction form
   45,974.25/98,509.50 = 98,509.50/x
3. Step 3: Cross multiply
   45,974.25x = 98,509.50 × 98,509.50
4. Step 4: Simplify right side
   45,974.25x = 9,704,121,590.25
5. Step 5: Solve for x
   x = 9,704,121,590.25/45,974.25
6. Step 6: Final answer
   x = 211,077.32