Finding the Third Proportional to 56,322 and 78,741

Step by Step Solution

1. Step 1: Write the proportion equation
   56,322 : 78,741 = 78,741 : x
2. Step 2: Convert to fraction form
   56,322/78,741 = 78,741/x
3. Step 3: Cross multiply
   56,322x = 78,741 × 78,741
4. Step 4: Simplify right side
   56,322x = 6,200,145,081
5. Step 5: Solve for x
   x = 6,200,145,081/56,322
6. Step 6: Final answer
   x = 110,083.89