Finding the Third Proportional to 55,786 and 78,026

Step by Step Solution

1. Step 1: Write the proportion equation
   55,786 : 78,026 = 78,026 : x
2. Step 2: Convert to fraction form
   55,786/78,026 = 78,026/x
3. Step 3: Cross multiply
   55,786x = 78,026 × 78,026
4. Step 4: Simplify right side
   55,786x = 6,088,056,676
5. Step 5: Solve for x
   x = 6,088,056,676/55,786
6. Step 6: Final answer
   x = 109,132.34