Finding the Third Proportional to 189,433.50 and 406,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,433.50 : 406,892.50 = 406,892.50 : x
2. Step 2: Convert to fraction form
   189,433.50/406,892.50 = 406,892.50/x
3. Step 3: Cross multiply
   189,433.50x = 406,892.50 × 406,892.50
4. Step 4: Simplify right side
   189,433.50x = 165,561,506,556.25
5. Step 5: Solve for x
   x = 165,561,506,556.25/189,433.50
6. Step 6: Final answer
   x = 873,982.20