Finding the Third Proportional to 355,648.50 and 545,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,648.50 : 545,314.50 = 545,314.50 : x
2. Step 2: Convert to fraction form
   355,648.50/545,314.50 = 545,314.50/x
3. Step 3: Cross multiply
   355,648.50x = 545,314.50 × 545,314.50
4. Step 4: Simplify right side
   355,648.50x = 297,367,903,910.25
5. Step 5: Solve for x
   x = 297,367,903,910.25/355,648.50
6. Step 6: Final answer
   x = 836,128.66