Finding the Third Proportional to 78,834 and 113,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,834 : 113,329.50 = 113,329.50 : x
2. Step 2: Convert to fraction form
   78,834/113,329.50 = 113,329.50/x
3. Step 3: Cross multiply
   78,834x = 113,329.50 × 113,329.50
4. Step 4: Simplify right side
   78,834x = 12,843,575,570.25
5. Step 5: Solve for x
   x = 12,843,575,570.25/78,834
6. Step 6: Final answer
   x = 162,919.24