Finding the Third Proportional to 74,275 and 109,774

Step by Step Solution

1. Step 1: Write the proportion equation
   74,275 : 109,774 = 109,774 : x
2. Step 2: Convert to fraction form
   74,275/109,774 = 109,774/x
3. Step 3: Cross multiply
   74,275x = 109,774 × 109,774
4. Step 4: Simplify right side
   74,275x = 12,050,331,076
5. Step 5: Solve for x
   x = 12,050,331,076/74,275
6. Step 6: Final answer
   x = 162,239.40