Finding the Third Proportional to 78,826.50 and 122,385

Step by Step Solution

1. Step 1: Write the proportion equation
   78,826.50 : 122,385 = 122,385 : x
2. Step 2: Convert to fraction form
   78,826.50/122,385 = 122,385/x
3. Step 3: Cross multiply
   78,826.50x = 122,385 × 122,385
4. Step 4: Simplify right side
   78,826.50x = 14,978,088,225
5. Step 5: Solve for x
   x = 14,978,088,225/78,826.50
6. Step 6: Final answer
   x = 190,013.36