Finding the Third Proportional to 164,322 and 259,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,322 : 259,978.50 = 259,978.50 : x
2. Step 2: Convert to fraction form
   164,322/259,978.50 = 259,978.50/x
3. Step 3: Cross multiply
   164,322x = 259,978.50 × 259,978.50
4. Step 4: Simplify right side
   164,322x = 67,588,820,462.25
5. Step 5: Solve for x
   x = 67,588,820,462.25/164,322
6. Step 6: Final answer
   x = 411,319.36