Finding the Third Proportional to 164,864.25 and 353,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,864.25 : 353,056.50 = 353,056.50 : x
2. Step 2: Convert to fraction form
   164,864.25/353,056.50 = 353,056.50/x
3. Step 3: Cross multiply
   164,864.25x = 353,056.50 × 353,056.50
4. Step 4: Simplify right side
   164,864.25x = 124,648,892,192.25
5. Step 5: Solve for x
   x = 124,648,892,192.25/164,864.25
6. Step 6: Final answer
   x = 756,069.87