Finding the Third Proportional to 47,779.50 and 102,255

Step by Step Solution

1. Step 1: Write the proportion equation
   47,779.50 : 102,255 = 102,255 : x
2. Step 2: Convert to fraction form
   47,779.50/102,255 = 102,255/x
3. Step 3: Cross multiply
   47,779.50x = 102,255 × 102,255
4. Step 4: Simplify right side
   47,779.50x = 10,456,085,025
5. Step 5: Solve for x
   x = 10,456,085,025/47,779.50
6. Step 6: Final answer
   x = 218,840.40