Finding the Third Proportional to 51,186.38 and 78,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,186.38 : 78,410.25 = 78,410.25 : x
2. Step 2: Convert to fraction form
   51,186.38/78,410.25 = 78,410.25/x
3. Step 3: Cross multiply
   51,186.38x = 78,410.25 × 78,410.25
4. Step 4: Simplify right side
   51,186.38x = 6,148,167,305.06
5. Step 5: Solve for x
   x = 6,148,167,305.06/51,186.38
6. Step 6: Final answer
   x = 120,113.36