Finding the Third Proportional to 189,510.50 and 414,627

Step by Step Solution

1. Step 1: Write the proportion equation
   189,510.50 : 414,627 = 414,627 : x
2. Step 2: Convert to fraction form
   189,510.50/414,627 = 414,627/x
3. Step 3: Cross multiply
   189,510.50x = 414,627 × 414,627
4. Step 4: Simplify right side
   189,510.50x = 171,915,549,129
5. Step 5: Solve for x
   x = 171,915,549,129/189,510.50
6. Step 6: Final answer
   x = 907,155.80