Finding the Third Proportional to 72,185 and 152,269

Step by Step Solution

1. Step 1: Write the proportion equation
   72,185 : 152,269 = 152,269 : x
2. Step 2: Convert to fraction form
   72,185/152,269 = 152,269/x
3. Step 3: Cross multiply
   72,185x = 152,269 × 152,269
4. Step 4: Simplify right side
   72,185x = 23,185,848,361
5. Step 5: Solve for x
   x = 23,185,848,361/72,185
6. Step 6: Final answer
   x = 321,200.37