Finding the Third Proportional to 78,334 and 165,598

Step by Step Solution

1. Step 1: Write the proportion equation
   78,334 : 165,598 = 165,598 : x
2. Step 2: Convert to fraction form
   78,334/165,598 = 165,598/x
3. Step 3: Cross multiply
   78,334x = 165,598 × 165,598
4. Step 4: Simplify right side
   78,334x = 27,422,697,604
5. Step 5: Solve for x
   x = 27,422,697,604/78,334
6. Step 6: Final answer
   x = 350,074.01