Finding the Third Proportional to 83,729.25 and 113,698.13

Step by Step Solution

1. Step 1: Write the proportion equation
   83,729.25 : 113,698.13 = 113,698.13 : x
2. Step 2: Convert to fraction form
   83,729.25/113,698.13 = 113,698.13/x
3. Step 3: Cross multiply
   83,729.25x = 113,698.13 × 113,698.13
4. Step 4: Simplify right side
   83,729.25x = 12,927,263,628.52
5. Step 5: Solve for x
   x = 12,927,263,628.52/83,729.25
6. Step 6: Final answer
   x = 154,393.64