Finding the Third Proportional to 77,487 and 117,774

Step by Step Solution

1. Step 1: Write the proportion equation
   77,487 : 117,774 = 117,774 : x
2. Step 2: Convert to fraction form
   77,487/117,774 = 117,774/x
3. Step 3: Cross multiply
   77,487x = 117,774 × 117,774
4. Step 4: Simplify right side
   77,487x = 13,870,715,076
5. Step 5: Solve for x
   x = 13,870,715,076/77,487
6. Step 6: Final answer
   x = 179,007.00