Finding the Third Proportional to 137,605.50 and 193,779

Step by Step Solution

1. Step 1: Write the proportion equation
   137,605.50 : 193,779 = 193,779 : x
2. Step 2: Convert to fraction form
   137,605.50/193,779 = 193,779/x
3. Step 3: Cross multiply
   137,605.50x = 193,779 × 193,779
4. Step 4: Simplify right side
   137,605.50x = 37,550,300,841
5. Step 5: Solve for x
   x = 37,550,300,841/137,605.50
6. Step 6: Final answer
   x = 272,883.72