Finding the Third Proportional to 46,116 and 99,496.69

Step by Step Solution

1. Step 1: Write the proportion equation
   46,116 : 99,496.69 = 99,496.69 : x
2. Step 2: Convert to fraction form
   46,116/99,496.69 = 99,496.69/x
3. Step 3: Cross multiply
   46,116x = 99,496.69 × 99,496.69
4. Step 4: Simplify right side
   46,116x = 9,899,590,823.47
5. Step 5: Solve for x
   x = 9,899,590,823.47/46,116
6. Step 6: Final answer
   x = 214,667.16