Finding the Third Proportional to 89,114 and 191,620

Step by Step Solution

1. Step 1: Write the proportion equation
   89,114 : 191,620 = 191,620 : x
2. Step 2: Convert to fraction form
   89,114/191,620 = 191,620/x
3. Step 3: Cross multiply
   89,114x = 191,620 × 191,620
4. Step 4: Simplify right side
   89,114x = 36,718,224,400
5. Step 5: Solve for x
   x = 36,718,224,400/89,114
6. Step 6: Final answer
   x = 412,036.54