Finding the Third Proportional to 78,464 and 100,746

Step by Step Solution

1. Step 1: Write the proportion equation
   78,464 : 100,746 = 100,746 : x
2. Step 2: Convert to fraction form
   78,464/100,746 = 100,746/x
3. Step 3: Cross multiply
   78,464x = 100,746 × 100,746
4. Step 4: Simplify right side
   78,464x = 10,149,756,516
5. Step 5: Solve for x
   x = 10,149,756,516/78,464
6. Step 6: Final answer
   x = 129,355.58