Finding the Third Proportional to 90,779.50 and 199,478

Step by Step Solution

1. Step 1: Write the proportion equation
   90,779.50 : 199,478 = 199,478 : x
2. Step 2: Convert to fraction form
   90,779.50/199,478 = 199,478/x
3. Step 3: Cross multiply
   90,779.50x = 199,478 × 199,478
4. Step 4: Simplify right side
   90,779.50x = 39,791,472,484
5. Step 5: Solve for x
   x = 39,791,472,484/90,779.50
6. Step 6: Final answer
   x = 438,331.04