Finding the Third Proportional to 49,818 and 76,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,818 : 76,185.50 = 76,185.50 : x
2. Step 2: Convert to fraction form
   49,818/76,185.50 = 76,185.50/x
3. Step 3: Cross multiply
   49,818x = 76,185.50 × 76,185.50
4. Step 4: Simplify right side
   49,818x = 5,804,230,410.25
5. Step 5: Solve for x
   x = 5,804,230,410.25/49,818
6. Step 6: Final answer
   x = 116,508.70