Finding the Third Proportional to 123,064.50 and 189,846.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,064.50 : 189,846.75 = 189,846.75 : x
2. Step 2: Convert to fraction form
   123,064.50/189,846.75 = 189,846.75/x
3. Step 3: Cross multiply
   123,064.50x = 189,846.75 × 189,846.75
4. Step 4: Simplify right side
   123,064.50x = 36,041,788,485.56
5. Step 5: Solve for x
   x = 36,041,788,485.56/123,064.50
6. Step 6: Final answer
   x = 292,869.09