Finding the Third Proportional to 49,152 and 104,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,152 : 104,741.50 = 104,741.50 : x
2. Step 2: Convert to fraction form
   49,152/104,741.50 = 104,741.50/x
3. Step 3: Cross multiply
   49,152x = 104,741.50 × 104,741.50
4. Step 4: Simplify right side
   49,152x = 10,970,781,822.25
5. Step 5: Solve for x
   x = 10,970,781,822.25/49,152
6. Step 6: Final answer
   x = 223,201.13