Finding the Third Proportional to 109,189 and 238,746

Step by Step Solution

1. Step 1: Write the proportion equation
   109,189 : 238,746 = 238,746 : x
2. Step 2: Convert to fraction form
   109,189/238,746 = 238,746/x
3. Step 3: Cross multiply
   109,189x = 238,746 × 238,746
4. Step 4: Simplify right side
   109,189x = 56,999,652,516
5. Step 5: Solve for x
   x = 56,999,652,516/109,189
6. Step 6: Final answer
   x = 522,027.43