Finding the Third Proportional to 47,850 and 103,152

Step by Step Solution

1. Step 1: Write the proportion equation
   47,850 : 103,152 = 103,152 : x
2. Step 2: Convert to fraction form
   47,850/103,152 = 103,152/x
3. Step 3: Cross multiply
   47,850x = 103,152 × 103,152
4. Step 4: Simplify right side
   47,850x = 10,640,335,104
5. Step 5: Solve for x
   x = 10,640,335,104/47,850
6. Step 6: Final answer
   x = 222,368.55