Finding the Third Proportional to 92,412 and 197,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,412 : 197,944.50 = 197,944.50 : x
2. Step 2: Convert to fraction form
   92,412/197,944.50 = 197,944.50/x
3. Step 3: Cross multiply
   92,412x = 197,944.50 × 197,944.50
4. Step 4: Simplify right side
   92,412x = 39,182,025,080.25
5. Step 5: Solve for x
   x = 39,182,025,080.25/92,412
6. Step 6: Final answer
   x = 423,992.83