Finding the Third Proportional to 49,410 and 102,114

Step by Step Solution

1. Step 1: Write the proportion equation
   49,410 : 102,114 = 102,114 : x
2. Step 2: Convert to fraction form
   49,410/102,114 = 102,114/x
3. Step 3: Cross multiply
   49,410x = 102,114 × 102,114
4. Step 4: Simplify right side
   49,410x = 10,427,268,996
5. Step 5: Solve for x
   x = 10,427,268,996/49,410
6. Step 6: Final answer
   x = 211,035.60