Finding the Third Proportional to 189,699 and 285,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,699 : 285,799.50 = 285,799.50 : x
2. Step 2: Convert to fraction form
   189,699/285,799.50 = 285,799.50/x
3. Step 3: Cross multiply
   189,699x = 285,799.50 × 285,799.50
4. Step 4: Simplify right side
   189,699x = 81,681,354,200.25
5. Step 5: Solve for x
   x = 81,681,354,200.25/189,699
6. Step 6: Final answer
   x = 430,584.00