Finding the Third Proportional to 155,514 and 238,185

Step by Step Solution

1. Step 1: Write the proportion equation
   155,514 : 238,185 = 238,185 : x
2. Step 2: Convert to fraction form
   155,514/238,185 = 238,185/x
3. Step 3: Cross multiply
   155,514x = 238,185 × 238,185
4. Step 4: Simplify right side
   155,514x = 56,732,094,225
5. Step 5: Solve for x
   x = 56,732,094,225/155,514
6. Step 6: Final answer
   x = 364,803.77