Finding the Third Proportional to 48,746 and 104,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,746 : 104,746.50 = 104,746.50 : x
2. Step 2: Convert to fraction form
   48,746/104,746.50 = 104,746.50/x
3. Step 3: Cross multiply
   48,746x = 104,746.50 × 104,746.50
4. Step 4: Simplify right side
   48,746x = 10,971,829,262.25
5. Step 5: Solve for x
   x = 10,971,829,262.25/48,746
6. Step 6: Final answer
   x = 225,081.63