Finding the Third Proportional to 51,852 and 78,254

Step by Step Solution

1. Step 1: Write the proportion equation
   51,852 : 78,254 = 78,254 : x
2. Step 2: Convert to fraction form
   51,852/78,254 = 78,254/x
3. Step 3: Cross multiply
   51,852x = 78,254 × 78,254
4. Step 4: Simplify right side
   51,852x = 6,123,688,516
5. Step 5: Solve for x
   x = 6,123,688,516/51,852
6. Step 6: Final answer
   x = 118,099.37