Finding the Third Proportional to 193,009 and 292,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,009 : 292,793.50 = 292,793.50 : x
2. Step 2: Convert to fraction form
   193,009/292,793.50 = 292,793.50/x
3. Step 3: Cross multiply
   193,009x = 292,793.50 × 292,793.50
4. Step 4: Simplify right side
   193,009x = 85,728,033,642.25
5. Step 5: Solve for x
   x = 85,728,033,642.25/193,009
6. Step 6: Final answer
   x = 444,165.99