Finding the Third Proportional to 105,412.50 and 148,290.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,412.50 : 148,290.75 = 148,290.75 : x
2. Step 2: Convert to fraction form
   105,412.50/148,290.75 = 148,290.75/x
3. Step 3: Cross multiply
   105,412.50x = 148,290.75 × 148,290.75
4. Step 4: Simplify right side
   105,412.50x = 21,990,146,535.56
5. Step 5: Solve for x
   x = 21,990,146,535.56/105,412.50
6. Step 6: Final answer
   x = 208,610.43