Finding the Third Proportional to 189,300 and 293,064

Step by Step Solution

1. Step 1: Write the proportion equation
   189,300 : 293,064 = 293,064 : x
2. Step 2: Convert to fraction form
   189,300/293,064 = 293,064/x
3. Step 3: Cross multiply
   189,300x = 293,064 × 293,064
4. Step 4: Simplify right side
   189,300x = 85,886,508,096
5. Step 5: Solve for x
   x = 85,886,508,096/189,300
6. Step 6: Final answer
   x = 453,705.80