Finding the Third Proportional to 185,536 and 279,152

Step by Step Solution

1. Step 1: Write the proportion equation
   185,536 : 279,152 = 279,152 : x
2. Step 2: Convert to fraction form
   185,536/279,152 = 279,152/x
3. Step 3: Cross multiply
   185,536x = 279,152 × 279,152
4. Step 4: Simplify right side
   185,536x = 77,925,839,104
5. Step 5: Solve for x
   x = 77,925,839,104/185,536
6. Step 6: Final answer
   x = 420,003.88