Finding the Third Proportional to 42,850 and 87,788

Step by Step Solution

1. Step 1: Write the proportion equation
   42,850 : 87,788 = 87,788 : x
2. Step 2: Convert to fraction form
   42,850/87,788 = 87,788/x
3. Step 3: Cross multiply
   42,850x = 87,788 × 87,788
4. Step 4: Simplify right side
   42,850x = 7,706,732,944
5. Step 5: Solve for x
   x = 7,706,732,944/42,850
6. Step 6: Final answer
   x = 179,853.74