Finding the Third Proportional to 193,519 and 293,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,519 : 293,194.50 = 293,194.50 : x
2. Step 2: Convert to fraction form
   193,519/293,194.50 = 293,194.50/x
3. Step 3: Cross multiply
   193,519x = 293,194.50 × 293,194.50
4. Step 4: Simplify right side
   193,519x = 85,963,014,830.25
5. Step 5: Solve for x
   x = 85,963,014,830.25/193,519
6. Step 6: Final answer
   x = 444,209.69