Finding the Third Proportional to 46,354 and 99,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,354 : 99,696.50 = 99,696.50 : x
2. Step 2: Convert to fraction form
   46,354/99,696.50 = 99,696.50/x
3. Step 3: Cross multiply
   46,354x = 99,696.50 × 99,696.50
4. Step 4: Simplify right side
   46,354x = 9,939,392,112.25
5. Step 5: Solve for x
   x = 9,939,392,112.25/46,354
6. Step 6: Final answer
   x = 214,423.61