Finding the Third Proportional to 186,705 and 286,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,705 : 286,978.50 = 286,978.50 : x
2. Step 2: Convert to fraction form
   186,705/286,978.50 = 286,978.50/x
3. Step 3: Cross multiply
   186,705x = 286,978.50 × 286,978.50
4. Step 4: Simplify right side
   186,705x = 82,356,659,462.25
5. Step 5: Solve for x
   x = 82,356,659,462.25/186,705
6. Step 6: Final answer
   x = 441,105.81