Finding the Third Proportional to 78,774 and 116,924

Step by Step Solution

1. Step 1: Write the proportion equation
   78,774 : 116,924 = 116,924 : x
2. Step 2: Convert to fraction form
   78,774/116,924 = 116,924/x
3. Step 3: Cross multiply
   78,774x = 116,924 × 116,924
4. Step 4: Simplify right side
   78,774x = 13,671,221,776
5. Step 5: Solve for x
   x = 13,671,221,776/78,774
6. Step 6: Final answer
   x = 173,549.92