Finding the Third Proportional to 85,038 and 122,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,038 : 122,928.50 = 122,928.50 : x
2. Step 2: Convert to fraction form
   85,038/122,928.50 = 122,928.50/x
3. Step 3: Cross multiply
   85,038x = 122,928.50 × 122,928.50
4. Step 4: Simplify right side
   85,038x = 15,111,416,112.25
5. Step 5: Solve for x
   x = 15,111,416,112.25/85,038
6. Step 6: Final answer
   x = 177,701.92