Finding the Third Proportional to 48,425 and 105,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,425 : 105,427.50 = 105,427.50 : x
2. Step 2: Convert to fraction form
   48,425/105,427.50 = 105,427.50/x
3. Step 3: Cross multiply
   48,425x = 105,427.50 × 105,427.50
4. Step 4: Simplify right side
   48,425x = 11,114,957,756.25
5. Step 5: Solve for x
   x = 11,114,957,756.25/48,425
6. Step 6: Final answer
   x = 229,529.33