Finding the Third Proportional to 122,785 and 189,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,785 : 189,601.50 = 189,601.50 : x
2. Step 2: Convert to fraction form
   122,785/189,601.50 = 189,601.50/x
3. Step 3: Cross multiply
   122,785x = 189,601.50 × 189,601.50
4. Step 4: Simplify right side
   122,785x = 35,948,728,802.25
5. Step 5: Solve for x
   x = 35,948,728,802.25/122,785
6. Step 6: Final answer
   x = 292,777.85