Finding the Third Proportional to 50,478 and 78,384.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,478 : 78,384.75 = 78,384.75 : x
2. Step 2: Convert to fraction form
   50,478/78,384.75 = 78,384.75/x
3. Step 3: Cross multiply
   50,478x = 78,384.75 × 78,384.75
4. Step 4: Simplify right side
   50,478x = 6,144,169,032.56
5. Step 5: Solve for x
   x = 6,144,169,032.56/50,478
6. Step 6: Final answer
   x = 121,719.74