Finding the Third Proportional to 105,268.50 and 148,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,268.50 : 148,258.50 = 148,258.50 : x
2. Step 2: Convert to fraction form
   105,268.50/148,258.50 = 148,258.50/x
3. Step 3: Cross multiply
   105,268.50x = 148,258.50 × 148,258.50
4. Step 4: Simplify right side
   105,268.50x = 21,980,582,822.25
5. Step 5: Solve for x
   x = 21,980,582,822.25/105,268.50
6. Step 6: Final answer
   x = 208,804.94