Finding the Third Proportional to 191,658 and 278,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,658 : 278,566.50 = 278,566.50 : x
2. Step 2: Convert to fraction form
   191,658/278,566.50 = 278,566.50/x
3. Step 3: Cross multiply
   191,658x = 278,566.50 × 278,566.50
4. Step 4: Simplify right side
   191,658x = 77,599,294,922.25
5. Step 5: Solve for x
   x = 77,599,294,922.25/191,658
6. Step 6: Final answer
   x = 404,884.19