Finding the Third Proportional to 164,205 and 353,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,205 : 353,732.50 = 353,732.50 : x
2. Step 2: Convert to fraction form
   164,205/353,732.50 = 353,732.50/x
3. Step 3: Cross multiply
   164,205x = 353,732.50 × 353,732.50
4. Step 4: Simplify right side
   164,205x = 125,126,681,556.25
5. Step 5: Solve for x
   x = 125,126,681,556.25/164,205
6. Step 6: Final answer
   x = 762,015.05