Finding the Third Proportional to 76,002 and 164,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,002 : 164,983.50 = 164,983.50 : x
2. Step 2: Convert to fraction form
   76,002/164,983.50 = 164,983.50/x
3. Step 3: Cross multiply
   76,002x = 164,983.50 × 164,983.50
4. Step 4: Simplify right side
   76,002x = 27,219,555,272.25
5. Step 5: Solve for x
   x = 27,219,555,272.25/76,002
6. Step 6: Final answer
   x = 358,142.62