Finding the Third Proportional to 81,931.50 and 122,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,931.50 : 122,917.50 = 122,917.50 : x
2. Step 2: Convert to fraction form
   81,931.50/122,917.50 = 122,917.50/x
3. Step 3: Cross multiply
   81,931.50x = 122,917.50 × 122,917.50
4. Step 4: Simplify right side
   81,931.50x = 15,108,711,806.25
5. Step 5: Solve for x
   x = 15,108,711,806.25/81,931.50
6. Step 6: Final answer
   x = 184,406.63