Finding the Third Proportional to 78,126 and 161,788

Step by Step Solution

1. Step 1: Write the proportion equation
   78,126 : 161,788 = 161,788 : x
2. Step 2: Convert to fraction form
   78,126/161,788 = 161,788/x
3. Step 3: Cross multiply
   78,126x = 161,788 × 161,788
4. Step 4: Simplify right side
   78,126x = 26,175,356,944
5. Step 5: Solve for x
   x = 26,175,356,944/78,126
6. Step 6: Final answer
   x = 335,040.28