Finding the Third Proportional to 109,141 and 164,117

Step by Step Solution

1. Step 1: Write the proportion equation
   109,141 : 164,117 = 164,117 : x
2. Step 2: Convert to fraction form
   109,141/164,117 = 164,117/x
3. Step 3: Cross multiply
   109,141x = 164,117 × 164,117
4. Step 4: Simplify right side
   109,141x = 26,934,389,689
5. Step 5: Solve for x
   x = 26,934,389,689/109,141
6. Step 6: Final answer
   x = 246,785.26