Finding the Third Proportional to 82,994 and 179,964

Step by Step Solution

1. Step 1: Write the proportion equation
   82,994 : 179,964 = 179,964 : x
2. Step 2: Convert to fraction form
   82,994/179,964 = 179,964/x
3. Step 3: Cross multiply
   82,994x = 179,964 × 179,964
4. Step 4: Simplify right side
   82,994x = 32,387,041,296
5. Step 5: Solve for x
   x = 32,387,041,296/82,994
6. Step 6: Final answer
   x = 390,233.53