Finding the Third Proportional to 78,396 and 117,774

Step by Step Solution

1. Step 1: Write the proportion equation
   78,396 : 117,774 = 117,774 : x
2. Step 2: Convert to fraction form
   78,396/117,774 = 117,774/x
3. Step 3: Cross multiply
   78,396x = 117,774 × 117,774
4. Step 4: Simplify right side
   78,396x = 13,870,715,076
5. Step 5: Solve for x
   x = 13,870,715,076/78,396
6. Step 6: Final answer
   x = 176,931.41