Finding the Third Proportional to 48,726 and 105,222

Step by Step Solution

1. Step 1: Write the proportion equation
   48,726 : 105,222 = 105,222 : x
2. Step 2: Convert to fraction form
   48,726/105,222 = 105,222/x
3. Step 3: Cross multiply
   48,726x = 105,222 × 105,222
4. Step 4: Simplify right side
   48,726x = 11,071,669,284
5. Step 5: Solve for x
   x = 11,071,669,284/48,726
6. Step 6: Final answer
   x = 227,223.03