Finding the Third Proportional to 77,036 and 116,616

Step by Step Solution

1. Step 1: Write the proportion equation
   77,036 : 116,616 = 116,616 : x
2. Step 2: Convert to fraction form
   77,036/116,616 = 116,616/x
3. Step 3: Cross multiply
   77,036x = 116,616 × 116,616
4. Step 4: Simplify right side
   77,036x = 13,599,291,456
5. Step 5: Solve for x
   x = 13,599,291,456/77,036
6. Step 6: Final answer
   x = 176,531.64