Finding the Third Proportional to 83,797 and 117,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,797 : 117,215.50 = 117,215.50 : x
2. Step 2: Convert to fraction form
   83,797/117,215.50 = 117,215.50/x
3. Step 3: Cross multiply
   83,797x = 117,215.50 × 117,215.50
4. Step 4: Simplify right side
   83,797x = 13,739,473,440.25
5. Step 5: Solve for x
   x = 13,739,473,440.25/83,797
6. Step 6: Final answer
   x = 163,961.40