Finding the Third Proportional to 199,642.50 and 301,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,642.50 : 301,543.50 = 301,543.50 : x
2. Step 2: Convert to fraction form
   199,642.50/301,543.50 = 301,543.50/x
3. Step 3: Cross multiply
   199,642.50x = 301,543.50 × 301,543.50
4. Step 4: Simplify right side
   199,642.50x = 90,928,482,392.25
5. Step 5: Solve for x
   x = 90,928,482,392.25/199,642.50
6. Step 6: Final answer
   x = 455,456.54