Finding the Third Proportional to 46,777.50 and 100,116

Step by Step Solution

1. Step 1: Write the proportion equation
   46,777.50 : 100,116 = 100,116 : x
2. Step 2: Convert to fraction form
   46,777.50/100,116 = 100,116/x
3. Step 3: Cross multiply
   46,777.50x = 100,116 × 100,116
4. Step 4: Simplify right side
   46,777.50x = 10,023,213,456
5. Step 5: Solve for x
   x = 10,023,213,456/46,777.50
6. Step 6: Final answer
   x = 214,274.24