Finding the Third Proportional to 76,722 and 122,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,722 : 122,131.50 = 122,131.50 : x
2. Step 2: Convert to fraction form
   76,722/122,131.50 = 122,131.50/x
3. Step 3: Cross multiply
   76,722x = 122,131.50 × 122,131.50
4. Step 4: Simplify right side
   76,722x = 14,916,103,292.25
5. Step 5: Solve for x
   x = 14,916,103,292.25/76,722
6. Step 6: Final answer
   x = 194,417.55