Finding the Third Proportional to 46,820 and 102,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,820 : 102,398.50 = 102,398.50 : x
2. Step 2: Convert to fraction form
   46,820/102,398.50 = 102,398.50/x
3. Step 3: Cross multiply
   46,820x = 102,398.50 × 102,398.50
4. Step 4: Simplify right side
   46,820x = 10,485,452,802.25
5. Step 5: Solve for x
   x = 10,485,452,802.25/46,820
6. Step 6: Final answer
   x = 223,952.43