Finding the Third Proportional to 188,408 and 404,113

Step by Step Solution

1. Step 1: Write the proportion equation
   188,408 : 404,113 = 404,113 : x
2. Step 2: Convert to fraction form
   188,408/404,113 = 404,113/x
3. Step 3: Cross multiply
   188,408x = 404,113 × 404,113
4. Step 4: Simplify right side
   188,408x = 163,307,316,769
5. Step 5: Solve for x
   x = 163,307,316,769/188,408
6. Step 6: Final answer
   x = 866,774.85