Finding the Third Proportional to 78,465 and 100,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,465 : 100,747.50 = 100,747.50 : x
2. Step 2: Convert to fraction form
   78,465/100,747.50 = 100,747.50/x
3. Step 3: Cross multiply
   78,465x = 100,747.50 × 100,747.50
4. Step 4: Simplify right side
   78,465x = 10,150,058,756.25
5. Step 5: Solve for x
   x = 10,150,058,756.25/78,465
6. Step 6: Final answer
   x = 129,357.79