Finding the Third Proportional to 48,516 and 105,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,516 : 105,574.50 = 105,574.50 : x
2. Step 2: Convert to fraction form
   48,516/105,574.50 = 105,574.50/x
3. Step 3: Cross multiply
   48,516x = 105,574.50 × 105,574.50
4. Step 4: Simplify right side
   48,516x = 11,145,975,050.25
5. Step 5: Solve for x
   x = 11,145,975,050.25/48,516
6. Step 6: Final answer
   x = 229,738.13