Finding the Third Proportional to 46,355 and 99,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,355 : 99,698.50 = 99,698.50 : x
2. Step 2: Convert to fraction form
   46,355/99,698.50 = 99,698.50/x
3. Step 3: Cross multiply
   46,355x = 99,698.50 × 99,698.50
4. Step 4: Simplify right side
   46,355x = 9,939,790,902.25
5. Step 5: Solve for x
   x = 9,939,790,902.25/46,355
6. Step 6: Final answer
   x = 214,427.59