Finding the Third Proportional to 123,034.50 and 189,744.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,034.50 : 189,744.75 = 189,744.75 : x
2. Step 2: Convert to fraction form
   123,034.50/189,744.75 = 189,744.75/x
3. Step 3: Cross multiply
   123,034.50x = 189,744.75 × 189,744.75
4. Step 4: Simplify right side
   123,034.50x = 36,003,070,152.56
5. Step 5: Solve for x
   x = 36,003,070,152.56/123,034.50
6. Step 6: Final answer
   x = 292,625.81