Finding the Third Proportional to 172,580 and 369,156

Step by Step Solution

1. Step 1: Write the proportion equation
   172,580 : 369,156 = 369,156 : x
2. Step 2: Convert to fraction form
   172,580/369,156 = 369,156/x
3. Step 3: Cross multiply
   172,580x = 369,156 × 369,156
4. Step 4: Simplify right side
   172,580x = 136,276,152,336
5. Step 5: Solve for x
   x = 136,276,152,336/172,580
6. Step 6: Final answer
   x = 789,640.47