Finding the Third Proportional to 164,398.50 and 353,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,398.50 : 353,362.50 = 353,362.50 : x
2. Step 2: Convert to fraction form
   164,398.50/353,362.50 = 353,362.50/x
3. Step 3: Cross multiply
   164,398.50x = 353,362.50 × 353,362.50
4. Step 4: Simplify right side
   164,398.50x = 124,865,056,406.25
5. Step 5: Solve for x
   x = 124,865,056,406.25/164,398.50
6. Step 6: Final answer
   x = 759,526.74