Finding the Third Proportional to 164,692.50 and 359,504

Step by Step Solution

1. Step 1: Write the proportion equation
   164,692.50 : 359,504 = 359,504 : x
2. Step 2: Convert to fraction form
   164,692.50/359,504 = 359,504/x
3. Step 3: Cross multiply
   164,692.50x = 359,504 × 359,504
4. Step 4: Simplify right side
   164,692.50x = 129,243,126,016
5. Step 5: Solve for x
   x = 129,243,126,016/164,692.50
6. Step 6: Final answer
   x = 784,754.17