Finding the Third Proportional to 76,824.38 and 167,658

Step by Step Solution

1. Step 1: Write the proportion equation
   76,824.38 : 167,658 = 167,658 : x
2. Step 2: Convert to fraction form
   76,824.38/167,658 = 167,658/x
3. Step 3: Cross multiply
   76,824.38x = 167,658 × 167,658
4. Step 4: Simplify right side
   76,824.38x = 28,109,204,964
5. Step 5: Solve for x
   x = 28,109,204,964/76,824.38
6. Step 6: Final answer
   x = 365,889.15