Finding the Third Proportional to 78,478 and 100,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,478 : 100,764.50 = 100,764.50 : x
2. Step 2: Convert to fraction form
   78,478/100,764.50 = 100,764.50/x
3. Step 3: Cross multiply
   78,478x = 100,764.50 × 100,764.50
4. Step 4: Simplify right side
   78,478x = 10,153,484,460.25
5. Step 5: Solve for x
   x = 10,153,484,460.25/78,478
6. Step 6: Final answer
   x = 129,380.01