Finding the Third Proportional to 185,991 and 405,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,991 : 405,196.50 = 405,196.50 : x
2. Step 2: Convert to fraction form
   185,991/405,196.50 = 405,196.50/x
3. Step 3: Cross multiply
   185,991x = 405,196.50 × 405,196.50
4. Step 4: Simplify right side
   185,991x = 164,184,203,612.25
5. Step 5: Solve for x
   x = 164,184,203,612.25/185,991
6. Step 6: Final answer
   x = 882,753.49