Finding the Third Proportional to 199,597.50 and 301,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,597.50 : 301,468.50 = 301,468.50 : x
2. Step 2: Convert to fraction form
   199,597.50/301,468.50 = 301,468.50/x
3. Step 3: Cross multiply
   199,597.50x = 301,468.50 × 301,468.50
4. Step 4: Simplify right side
   199,597.50x = 90,883,256,492.25
5. Step 5: Solve for x
   x = 90,883,256,492.25/199,597.50
6. Step 6: Final answer
   x = 455,332.64