Finding the Third Proportional to 65,188 and 100,775

Step by Step Solution

1. Step 1: Write the proportion equation
   65,188 : 100,775 = 100,775 : x
2. Step 2: Convert to fraction form
   65,188/100,775 = 100,775/x
3. Step 3: Cross multiply
   65,188x = 100,775 × 100,775
4. Step 4: Simplify right side
   65,188x = 10,155,600,625
5. Step 5: Solve for x
   x = 10,155,600,625/65,188
6. Step 6: Final answer
   x = 155,789.42