Finding the Third Proportional to 78,653 and 117,988

Step by Step Solution

1. Step 1: Write the proportion equation
   78,653 : 117,988 = 117,988 : x
2. Step 2: Convert to fraction form
   78,653/117,988 = 117,988/x
3. Step 3: Cross multiply
   78,653x = 117,988 × 117,988
4. Step 4: Simplify right side
   78,653x = 13,921,168,144
5. Step 5: Solve for x
   x = 13,921,168,144/78,653
6. Step 6: Final answer
   x = 176,994.75