Finding the Third Proportional to 354,069 and 541,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,069 : 541,426.50 = 541,426.50 : x
2. Step 2: Convert to fraction form
   354,069/541,426.50 = 541,426.50/x
3. Step 3: Cross multiply
   354,069x = 541,426.50 × 541,426.50
4. Step 4: Simplify right side
   354,069x = 293,142,654,902.25
5. Step 5: Solve for x
   x = 293,142,654,902.25/354,069
6. Step 6: Final answer
   x = 827,925.22