Finding the Third Proportional to 65,077.38 and 100,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,077.38 : 100,565.50 = 100,565.50 : x
2. Step 2: Convert to fraction form
   65,077.38/100,565.50 = 100,565.50/x
3. Step 3: Cross multiply
   65,077.38x = 100,565.50 × 100,565.50
4. Step 4: Simplify right side
   65,077.38x = 10,113,419,790.25
5. Step 5: Solve for x
   x = 10,113,419,790.25/65,077.38
6. Step 6: Final answer
   x = 155,406.08