Finding the Third Proportional to 185,988 and 405,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,988 : 405,190.50 = 405,190.50 : x
2. Step 2: Convert to fraction form
   185,988/405,190.50 = 405,190.50/x
3. Step 3: Cross multiply
   185,988x = 405,190.50 × 405,190.50
4. Step 4: Simplify right side
   185,988x = 164,179,341,290.25
5. Step 5: Solve for x
   x = 164,179,341,290.25/185,988
6. Step 6: Final answer
   x = 882,741.58