Finding the Third Proportional to 48,051 and 105,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,051 : 105,153.50 = 105,153.50 : x
2. Step 2: Convert to fraction form
   48,051/105,153.50 = 105,153.50/x
3. Step 3: Cross multiply
   48,051x = 105,153.50 × 105,153.50
4. Step 4: Simplify right side
   48,051x = 11,057,258,562.25
5. Step 5: Solve for x
   x = 11,057,258,562.25/48,051
6. Step 6: Final answer
   x = 230,115.06