Finding the Third Proportional to 91,816 and 141,774

Step by Step Solution

1. Step 1: Write the proportion equation
   91,816 : 141,774 = 141,774 : x
2. Step 2: Convert to fraction form
   91,816/141,774 = 141,774/x
3. Step 3: Cross multiply
   91,816x = 141,774 × 141,774
4. Step 4: Simplify right side
   91,816x = 20,099,867,076
5. Step 5: Solve for x
   x = 20,099,867,076/91,816
6. Step 6: Final answer
   x = 218,914.65