Finding the Third Proportional to 189,421 and 294,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,421 : 294,091.50 = 294,091.50 : x
2. Step 2: Convert to fraction form
   189,421/294,091.50 = 294,091.50/x
3. Step 3: Cross multiply
   189,421x = 294,091.50 × 294,091.50
4. Step 4: Simplify right side
   189,421x = 86,489,810,372.25
5. Step 5: Solve for x
   x = 86,489,810,372.25/189,421
6. Step 6: Final answer
   x = 456,600.96