Finding the Third Proportional to 83,677 and 117,039

Step by Step Solution

1. Step 1: Write the proportion equation
   83,677 : 117,039 = 117,039 : x
2. Step 2: Convert to fraction form
   83,677/117,039 = 117,039/x
3. Step 3: Cross multiply
   83,677x = 117,039 × 117,039
4. Step 4: Simplify right side
   83,677x = 13,698,127,521
5. Step 5: Solve for x
   x = 13,698,127,521/83,677
6. Step 6: Final answer
   x = 163,702.42