Finding the Third Proportional to 90,585.50 and 196,779

Step by Step Solution

1. Step 1: Write the proportion equation
   90,585.50 : 196,779 = 196,779 : x
2. Step 2: Convert to fraction form
   90,585.50/196,779 = 196,779/x
3. Step 3: Cross multiply
   90,585.50x = 196,779 × 196,779
4. Step 4: Simplify right side
   90,585.50x = 38,721,974,841
5. Step 5: Solve for x
   x = 38,721,974,841/90,585.50
6. Step 6: Final answer
   x = 427,463.28