Finding the Third Proportional to 83,346 and 179,814

Step by Step Solution

1. Step 1: Write the proportion equation
   83,346 : 179,814 = 179,814 : x
2. Step 2: Convert to fraction form
   83,346/179,814 = 179,814/x
3. Step 3: Cross multiply
   83,346x = 179,814 × 179,814
4. Step 4: Simplify right side
   83,346x = 32,333,074,596
5. Step 5: Solve for x
   x = 32,333,074,596/83,346
6. Step 6: Final answer
   x = 387,937.93