Finding the Third Proportional to 66,774 and 89,199.75

Step by Step Solution

1. Step 1: Write the proportion equation
   66,774 : 89,199.75 = 89,199.75 : x
2. Step 2: Convert to fraction form
   66,774/89,199.75 = 89,199.75/x
3. Step 3: Cross multiply
   66,774x = 89,199.75 × 89,199.75
4. Step 4: Simplify right side
   66,774x = 7,956,595,400.06
5. Step 5: Solve for x
   x = 7,956,595,400.06/66,774
6. Step 6: Final answer
   x = 119,157.09