Finding the Third Proportional to 50,862 and 78,688

Step by Step Solution

1. Step 1: Write the proportion equation
   50,862 : 78,688 = 78,688 : x
2. Step 2: Convert to fraction form
   50,862/78,688 = 78,688/x
3. Step 3: Cross multiply
   50,862x = 78,688 × 78,688
4. Step 4: Simplify right side
   50,862x = 6,191,801,344
5. Step 5: Solve for x
   x = 6,191,801,344/50,862
6. Step 6: Final answer
   x = 121,737.28