Finding the Third Proportional to 193,069 and 298,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,069 : 298,945.50 = 298,945.50 : x
2. Step 2: Convert to fraction form
   193,069/298,945.50 = 298,945.50/x
3. Step 3: Cross multiply
   193,069x = 298,945.50 × 298,945.50
4. Step 4: Simplify right side
   193,069x = 89,368,411,970.25
5. Step 5: Solve for x
   x = 89,368,411,970.25/193,069
6. Step 6: Final answer
   x = 462,883.28