Finding the Third Proportional to 78,832.50 and 122,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,832.50 : 122,401.50 = 122,401.50 : x
2. Step 2: Convert to fraction form
   78,832.50/122,401.50 = 122,401.50/x
3. Step 3: Cross multiply
   78,832.50x = 122,401.50 × 122,401.50
4. Step 4: Simplify right side
   78,832.50x = 14,982,127,202.25
5. Step 5: Solve for x
   x = 14,982,127,202.25/78,832.50
6. Step 6: Final answer
   x = 190,050.13