Finding the Third Proportional to 76,522.50 and 165,600

Step by Step Solution

1. Step 1: Write the proportion equation
   76,522.50 : 165,600 = 165,600 : x
2. Step 2: Convert to fraction form
   76,522.50/165,600 = 165,600/x
3. Step 3: Cross multiply
   76,522.50x = 165,600 × 165,600
4. Step 4: Simplify right side
   76,522.50x = 27,423,360,000
5. Step 5: Solve for x
   x = 27,423,360,000/76,522.50
6. Step 6: Final answer
   x = 358,369.89