Finding the Third Proportional to 364,269 and 542,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,269 : 542,668.50 = 542,668.50 : x
2. Step 2: Convert to fraction form
   364,269/542,668.50 = 542,668.50/x
3. Step 3: Cross multiply
   364,269x = 542,668.50 × 542,668.50
4. Step 4: Simplify right side
   364,269x = 294,489,100,892.25
5. Step 5: Solve for x
   x = 294,489,100,892.25/364,269
6. Step 6: Final answer
   x = 808,438.55