Finding the Third Proportional to 105,968 and 148,536

Step by Step Solution

1. Step 1: Write the proportion equation
   105,968 : 148,536 = 148,536 : x
2. Step 2: Convert to fraction form
   105,968/148,536 = 148,536/x
3. Step 3: Cross multiply
   105,968x = 148,536 × 148,536
4. Step 4: Simplify right side
   105,968x = 22,062,943,296
5. Step 5: Solve for x
   x = 22,062,943,296/105,968
6. Step 6: Final answer
   x = 208,203.83