Finding the Third Proportional to 105,984 and 148,546

Step by Step Solution

1. Step 1: Write the proportion equation
   105,984 : 148,546 = 148,546 : x
2. Step 2: Convert to fraction form
   105,984/148,546 = 148,546/x
3. Step 3: Cross multiply
   105,984x = 148,546 × 148,546
4. Step 4: Simplify right side
   105,984x = 22,065,914,116
5. Step 5: Solve for x
   x = 22,065,914,116/105,984
6. Step 6: Final answer
   x = 208,200.43