Finding the Third Proportional to 191,724 and 415,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,724 : 415,180.50 = 415,180.50 : x
2. Step 2: Convert to fraction form
   191,724/415,180.50 = 415,180.50/x
3. Step 3: Cross multiply
   191,724x = 415,180.50 × 415,180.50
4. Step 4: Simplify right side
   191,724x = 172,374,847,580.25
5. Step 5: Solve for x
   x = 172,374,847,580.25/191,724
6. Step 6: Final answer
   x = 899,078.09