Finding the Third Proportional to 185,638.50 and 404,607

Step by Step Solution

1. Step 1: Write the proportion equation
   185,638.50 : 404,607 = 404,607 : x
2. Step 2: Convert to fraction form
   185,638.50/404,607 = 404,607/x
3. Step 3: Cross multiply
   185,638.50x = 404,607 × 404,607
4. Step 4: Simplify right side
   185,638.50x = 163,706,824,449
5. Step 5: Solve for x
   x = 163,706,824,449/185,638.50
6. Step 6: Final answer
   x = 881,858.15