Finding the Third Proportional to 78,336 and 117,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,336 : 117,211.50 = 117,211.50 : x
2. Step 2: Convert to fraction form
   78,336/117,211.50 = 117,211.50/x
3. Step 3: Cross multiply
   78,336x = 117,211.50 × 117,211.50
4. Step 4: Simplify right side
   78,336x = 13,738,535,732.25
5. Step 5: Solve for x
   x = 13,738,535,732.25/78,336
6. Step 6: Final answer
   x = 175,379.59