Finding the Third Proportional to 78,624 and 117,648

Step by Step Solution

1. Step 1: Write the proportion equation
   78,624 : 117,648 = 117,648 : x
2. Step 2: Convert to fraction form
   78,624/117,648 = 117,648/x
3. Step 3: Cross multiply
   78,624x = 117,648 × 117,648
4. Step 4: Simplify right side
   78,624x = 13,841,051,904
5. Step 5: Solve for x
   x = 13,841,051,904/78,624
6. Step 6: Final answer
   x = 176,041.05