Finding the Third Proportional to 164,218.50 and 353,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,218.50 : 353,758.50 = 353,758.50 : x
2. Step 2: Convert to fraction form
   164,218.50/353,758.50 = 353,758.50/x
3. Step 3: Cross multiply
   164,218.50x = 353,758.50 × 353,758.50
4. Step 4: Simplify right side
   164,218.50x = 125,145,076,322.25
5. Step 5: Solve for x
   x = 125,145,076,322.25/164,218.50
6. Step 6: Final answer
   x = 762,064.42