Finding the Third Proportional to 105,975 and 148,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,975 : 148,534.50 = 148,534.50 : x
2. Step 2: Convert to fraction form
   105,975/148,534.50 = 148,534.50/x
3. Step 3: Cross multiply
   105,975x = 148,534.50 × 148,534.50
4. Step 4: Simplify right side
   105,975x = 22,062,497,690.25
5. Step 5: Solve for x
   x = 22,062,497,690.25/105,975
6. Step 6: Final answer
   x = 208,185.87