Finding the Third Proportional to 82,404 and 125,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,404 : 125,185.50 = 125,185.50 : x
2. Step 2: Convert to fraction form
   82,404/125,185.50 = 125,185.50/x
3. Step 3: Cross multiply
   82,404x = 125,185.50 × 125,185.50
4. Step 4: Simplify right side
   82,404x = 15,671,409,410.25
5. Step 5: Solve for x
   x = 15,671,409,410.25/82,404
6. Step 6: Final answer
   x = 190,177.78