Finding the Third Proportional to 122,085 and 189,012.75

Step by Step Solution

1. Step 1: Write the proportion equation
   122,085 : 189,012.75 = 189,012.75 : x
2. Step 2: Convert to fraction form
   122,085/189,012.75 = 189,012.75/x
3. Step 3: Cross multiply
   122,085x = 189,012.75 × 189,012.75
4. Step 4: Simplify right side
   122,085x = 35,725,819,662.56
5. Step 5: Solve for x
   x = 35,725,819,662.56/122,085
6. Step 6: Final answer
   x = 292,630.71