Finding the Third Proportional to 78,046 and 167,928

Step by Step Solution

1. Step 1: Write the proportion equation
   78,046 : 167,928 = 167,928 : x
2. Step 2: Convert to fraction form
   78,046/167,928 = 167,928/x
3. Step 3: Cross multiply
   78,046x = 167,928 × 167,928
4. Step 4: Simplify right side
   78,046x = 28,199,813,184
5. Step 5: Solve for x
   x = 28,199,813,184/78,046
6. Step 6: Final answer
   x = 361,322.98