Finding the Third Proportional to 122,327 and 189,057.75

Step by Step Solution

1. Step 1: Write the proportion equation
   122,327 : 189,057.75 = 189,057.75 : x
2. Step 2: Convert to fraction form
   122,327/189,057.75 = 189,057.75/x
3. Step 3: Cross multiply
   122,327x = 189,057.75 × 189,057.75
4. Step 4: Simplify right side
   122,327x = 35,742,832,835.06
5. Step 5: Solve for x
   x = 35,742,832,835.06/122,327
6. Step 6: Final answer
   x = 292,190.87