Finding the Third Proportional to 190,827 and 278,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,827 : 278,581.50 = 278,581.50 : x
2. Step 2: Convert to fraction form
   190,827/278,581.50 = 278,581.50/x
3. Step 3: Cross multiply
   190,827x = 278,581.50 × 278,581.50
4. Step 4: Simplify right side
   190,827x = 77,607,652,142.25
5. Step 5: Solve for x
   x = 77,607,652,142.25/190,827
6. Step 6: Final answer
   x = 406,691.15