Finding the Third Proportional to 189,221.50 and 407,819

Step by Step Solution

1. Step 1: Write the proportion equation
   189,221.50 : 407,819 = 407,819 : x
2. Step 2: Convert to fraction form
   189,221.50/407,819 = 407,819/x
3. Step 3: Cross multiply
   189,221.50x = 407,819 × 407,819
4. Step 4: Simplify right side
   189,221.50x = 166,316,336,761
5. Step 5: Solve for x
   x = 166,316,336,761/189,221.50
6. Step 6: Final answer
   x = 878,950.52