Finding the Third Proportional to 78,912 and 169,536

Step by Step Solution

1. Step 1: Write the proportion equation
   78,912 : 169,536 = 169,536 : x
2. Step 2: Convert to fraction form
   78,912/169,536 = 169,536/x
3. Step 3: Cross multiply
   78,912x = 169,536 × 169,536
4. Step 4: Simplify right side
   78,912x = 28,742,455,296
5. Step 5: Solve for x
   x = 28,742,455,296/78,912
6. Step 6: Final answer
   x = 364,234.28