Finding the Third Proportional to 164,223 and 354,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,223 : 354,082.50 = 354,082.50 : x
2. Step 2: Convert to fraction form
   164,223/354,082.50 = 354,082.50/x
3. Step 3: Cross multiply
   164,223x = 354,082.50 × 354,082.50
4. Step 4: Simplify right side
   164,223x = 125,374,416,806.25
5. Step 5: Solve for x
   x = 125,374,416,806.25/164,223
6. Step 6: Final answer
   x = 763,440.06