Finding the Third Proportional to 120,258 and 186,934.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,258 : 186,934.50 = 186,934.50 : x
2. Step 2: Convert to fraction form
   120,258/186,934.50 = 186,934.50/x
3. Step 3: Cross multiply
   120,258x = 186,934.50 × 186,934.50
4. Step 4: Simplify right side
   120,258x = 34,944,507,290.25
5. Step 5: Solve for x
   x = 34,944,507,290.25/120,258
6. Step 6: Final answer
   x = 290,579.48