Finding the Third Proportional to 109,820 and 238,358

Step by Step Solution

1. Step 1: Write the proportion equation
   109,820 : 238,358 = 238,358 : x
2. Step 2: Convert to fraction form
   109,820/238,358 = 238,358/x
3. Step 3: Cross multiply
   109,820x = 238,358 × 238,358
4. Step 4: Simplify right side
   109,820x = 56,814,536,164
5. Step 5: Solve for x
   x = 56,814,536,164/109,820
6. Step 6: Final answer
   x = 517,342.34