Finding the Third Proportional to 78,454.50 and 117,858

Step by Step Solution

1. Step 1: Write the proportion equation
   78,454.50 : 117,858 = 117,858 : x
2. Step 2: Convert to fraction form
   78,454.50/117,858 = 117,858/x
3. Step 3: Cross multiply
   78,454.50x = 117,858 × 117,858
4. Step 4: Simplify right side
   78,454.50x = 13,890,508,164
5. Step 5: Solve for x
   x = 13,890,508,164/78,454.50
6. Step 6: Final answer
   x = 177,051.77