Finding the Third Proportional to 82,417 and 124,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,417 : 124,009.50 = 124,009.50 : x
2. Step 2: Convert to fraction form
   82,417/124,009.50 = 124,009.50/x
3. Step 3: Cross multiply
   82,417x = 124,009.50 × 124,009.50
4. Step 4: Simplify right side
   82,417x = 15,378,356,090.25
5. Step 5: Solve for x
   x = 15,378,356,090.25/82,417
6. Step 6: Final answer
   x = 186,592.04