Finding the Third Proportional to 189,388 and 414,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,388 : 414,405.50 = 414,405.50 : x
2. Step 2: Convert to fraction form
   189,388/414,405.50 = 414,405.50/x
3. Step 3: Cross multiply
   189,388x = 414,405.50 × 414,405.50
4. Step 4: Simplify right side
   189,388x = 171,731,918,430.25
5. Step 5: Solve for x
   x = 171,731,918,430.25/189,388
6. Step 6: Final answer
   x = 906,772.97