Finding the Third Proportional to 78,804 and 169,272

Step by Step Solution

1. Step 1: Write the proportion equation
   78,804 : 169,272 = 169,272 : x
2. Step 2: Convert to fraction form
   78,804/169,272 = 169,272/x
3. Step 3: Cross multiply
   78,804x = 169,272 × 169,272
4. Step 4: Simplify right side
   78,804x = 28,653,009,984
5. Step 5: Solve for x
   x = 28,653,009,984/78,804
6. Step 6: Final answer
   x = 363,598.42