Finding the Third Proportional to 134,781 and 199,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,781 : 199,543.50 = 199,543.50 : x
2. Step 2: Convert to fraction form
   134,781/199,543.50 = 199,543.50/x
3. Step 3: Cross multiply
   134,781x = 199,543.50 × 199,543.50
4. Step 4: Simplify right side
   134,781x = 39,817,608,392.25
5. Step 5: Solve for x
   x = 39,817,608,392.25/134,781
6. Step 6: Final answer
   x = 295,424.49