Finding the Third Proportional to 83,913 and 117,323.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,913 : 117,323.25 = 117,323.25 : x
2. Step 2: Convert to fraction form
   83,913/117,323.25 = 117,323.25/x
3. Step 3: Cross multiply
   83,913x = 117,323.25 × 117,323.25
4. Step 4: Simplify right side
   83,913x = 13,764,744,990.56
5. Step 5: Solve for x
   x = 13,764,744,990.56/83,913
6. Step 6: Final answer
   x = 164,035.91