Finding the Third Proportional to 81,468 and 122,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,468 : 122,722.50 = 122,722.50 : x
2. Step 2: Convert to fraction form
   81,468/122,722.50 = 122,722.50/x
3. Step 3: Cross multiply
   81,468x = 122,722.50 × 122,722.50
4. Step 4: Simplify right side
   81,468x = 15,060,812,006.25
5. Step 5: Solve for x
   x = 15,060,812,006.25/81,468
6. Step 6: Final answer
   x = 184,867.83