Finding the Third Proportional to 89,412 and 191,804

Step by Step Solution

1. Step 1: Write the proportion equation
   89,412 : 191,804 = 191,804 : x
2. Step 2: Convert to fraction form
   89,412/191,804 = 191,804/x
3. Step 3: Cross multiply
   89,412x = 191,804 × 191,804
4. Step 4: Simplify right side
   89,412x = 36,788,774,416
5. Step 5: Solve for x
   x = 36,788,774,416/89,412
6. Step 6: Final answer
   x = 411,452.32