Finding the Third Proportional to 183,530 and 414,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,530 : 414,947.50 = 414,947.50 : x
2. Step 2: Convert to fraction form
   183,530/414,947.50 = 414,947.50/x
3. Step 3: Cross multiply
   183,530x = 414,947.50 × 414,947.50
4. Step 4: Simplify right side
   183,530x = 172,181,427,756.25
5. Step 5: Solve for x
   x = 172,181,427,756.25/183,530
6. Step 6: Final answer
   x = 938,165.03