Finding the Third Proportional to 78,874.50 and 122,364

Step by Step Solution

1. Step 1: Write the proportion equation
   78,874.50 : 122,364 = 122,364 : x
2. Step 2: Convert to fraction form
   78,874.50/122,364 = 122,364/x
3. Step 3: Cross multiply
   78,874.50x = 122,364 × 122,364
4. Step 4: Simplify right side
   78,874.50x = 14,972,948,496
5. Step 5: Solve for x
   x = 14,972,948,496/78,874.50
6. Step 6: Final answer
   x = 189,832.56