Finding the Third Proportional to 174,622.50 and 335,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,622.50 : 335,758.50 = 335,758.50 : x
2. Step 2: Convert to fraction form
   174,622.50/335,758.50 = 335,758.50/x
3. Step 3: Cross multiply
   174,622.50x = 335,758.50 × 335,758.50
4. Step 4: Simplify right side
   174,622.50x = 112,733,770,322.25
5. Step 5: Solve for x
   x = 112,733,770,322.25/174,622.50
6. Step 6: Final answer
   x = 645,585.59