Finding the Third Proportional to 37,779 and 88,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,779 : 88,237.50 = 88,237.50 : x
2. Step 2: Convert to fraction form
   37,779/88,237.50 = 88,237.50/x
3. Step 3: Cross multiply
   37,779x = 88,237.50 × 88,237.50
4. Step 4: Simplify right side
   37,779x = 7,785,856,406.25
5. Step 5: Solve for x
   x = 7,785,856,406.25/37,779
6. Step 6: Final answer
   x = 206,089.53