Finding the Third Proportional to 48,565 and 105,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,565 : 105,675.50 = 105,675.50 : x
2. Step 2: Convert to fraction form
   48,565/105,675.50 = 105,675.50/x
3. Step 3: Cross multiply
   48,565x = 105,675.50 × 105,675.50
4. Step 4: Simplify right side
   48,565x = 11,167,311,300.25
5. Step 5: Solve for x
   x = 11,167,311,300.25/48,565
6. Step 6: Final answer
   x = 229,945.67