Finding the Third Proportional to 51,256 and 78,354

Step by Step Solution

1. Step 1: Write the proportion equation
   51,256 : 78,354 = 78,354 : x
2. Step 2: Convert to fraction form
   51,256/78,354 = 78,354/x
3. Step 3: Cross multiply
   51,256x = 78,354 × 78,354
4. Step 4: Simplify right side
   51,256x = 6,139,349,316
5. Step 5: Solve for x
   x = 6,139,349,316/51,256
6. Step 6: Final answer
   x = 119,778.16