Finding the Third Proportional to 42,846 and 87,780

Step by Step Solution

1. Step 1: Write the proportion equation
   42,846 : 87,780 = 87,780 : x
2. Step 2: Convert to fraction form
   42,846/87,780 = 87,780/x
3. Step 3: Cross multiply
   42,846x = 87,780 × 87,780
4. Step 4: Simplify right side
   42,846x = 7,705,328,400
5. Step 5: Solve for x
   x = 7,705,328,400/42,846
6. Step 6: Final answer
   x = 179,837.75