Finding the Third Proportional to 85,034 and 122,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,034 : 122,922.50 = 122,922.50 : x
2. Step 2: Convert to fraction form
   85,034/122,922.50 = 122,922.50/x
3. Step 3: Cross multiply
   85,034x = 122,922.50 × 122,922.50
4. Step 4: Simplify right side
   85,034x = 15,109,941,006.25
5. Step 5: Solve for x
   x = 15,109,941,006.25/85,034
6. Step 6: Final answer
   x = 177,692.93