Finding the Third Proportional to 193,992 and 291,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,992 : 291,253.50 = 291,253.50 : x
2. Step 2: Convert to fraction form
   193,992/291,253.50 = 291,253.50/x
3. Step 3: Cross multiply
   193,992x = 291,253.50 × 291,253.50
4. Step 4: Simplify right side
   193,992x = 84,828,601,262.25
5. Step 5: Solve for x
   x = 84,828,601,262.25/193,992
6. Step 6: Final answer
   x = 437,278.86