Finding the Third Proportional to 85,392.50 and 122,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,392.50 : 122,994.50 = 122,994.50 : x
2. Step 2: Convert to fraction form
   85,392.50/122,994.50 = 122,994.50/x
3. Step 3: Cross multiply
   85,392.50x = 122,994.50 × 122,994.50
4. Step 4: Simplify right side
   85,392.50x = 15,127,647,030.25
5. Step 5: Solve for x
   x = 15,127,647,030.25/85,392.50
6. Step 6: Final answer
   x = 177,154.28