Finding the Third Proportional to 48,196.25 and 102,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,196.25 : 102,224.50 = 102,224.50 : x
2. Step 2: Convert to fraction form
   48,196.25/102,224.50 = 102,224.50/x
3. Step 3: Cross multiply
   48,196.25x = 102,224.50 × 102,224.50
4. Step 4: Simplify right side
   48,196.25x = 10,449,848,400.25
5. Step 5: Solve for x
   x = 10,449,848,400.25/48,196.25
6. Step 6: Final answer
   x = 216,818.70