Finding the Third Proportional to 78,381 and 169,152

Step by Step Solution

1. Step 1: Write the proportion equation
   78,381 : 169,152 = 169,152 : x
2. Step 2: Convert to fraction form
   78,381/169,152 = 169,152/x
3. Step 3: Cross multiply
   78,381x = 169,152 × 169,152
4. Step 4: Simplify right side
   78,381x = 28,612,399,104
5. Step 5: Solve for x
   x = 28,612,399,104/78,381
6. Step 6: Final answer
   x = 365,042.54