Finding the Third Proportional to 46,713.50 and 102,196

Step by Step Solution

1. Step 1: Write the proportion equation
   46,713.50 : 102,196 = 102,196 : x
2. Step 2: Convert to fraction form
   46,713.50/102,196 = 102,196/x
3. Step 3: Cross multiply
   46,713.50x = 102,196 × 102,196
4. Step 4: Simplify right side
   46,713.50x = 10,444,022,416
5. Step 5: Solve for x
   x = 10,444,022,416/46,713.50
6. Step 6: Final answer
   x = 223,576.11