Finding the Third Proportional to 76,926 and 164,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,926 : 164,800.50 = 164,800.50 : x
2. Step 2: Convert to fraction form
   76,926/164,800.50 = 164,800.50/x
3. Step 3: Cross multiply
   76,926x = 164,800.50 × 164,800.50
4. Step 4: Simplify right side
   76,926x = 27,159,204,800.25
5. Step 5: Solve for x
   x = 27,159,204,800.25/76,926
6. Step 6: Final answer
   x = 353,056.25