Finding the Third Proportional to 103,968 and 148,168

Step by Step Solution

1. Step 1: Write the proportion equation
   103,968 : 148,168 = 148,168 : x
2. Step 2: Convert to fraction form
   103,968/148,168 = 148,168/x
3. Step 3: Cross multiply
   103,968x = 148,168 × 148,168
4. Step 4: Simplify right side
   103,968x = 21,953,756,224
5. Step 5: Solve for x
   x = 21,953,756,224/103,968
6. Step 6: Final answer
   x = 211,158.78