Finding the Third Proportional to 122,326.50 and 189,057

Step by Step Solution

1. Step 1: Write the proportion equation
   122,326.50 : 189,057 = 189,057 : x
2. Step 2: Convert to fraction form
   122,326.50/189,057 = 189,057/x
3. Step 3: Cross multiply
   122,326.50x = 189,057 × 189,057
4. Step 4: Simplify right side
   122,326.50x = 35,742,549,249
5. Step 5: Solve for x
   x = 35,742,549,249/122,326.50
6. Step 6: Final answer
   x = 292,189.75