Finding the Third Proportional to 189,175.50 and 413,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,175.50 : 413,869.50 = 413,869.50 : x
2. Step 2: Convert to fraction form
   189,175.50/413,869.50 = 413,869.50/x
3. Step 3: Cross multiply
   189,175.50x = 413,869.50 × 413,869.50
4. Step 4: Simplify right side
   189,175.50x = 171,287,963,030.25
5. Step 5: Solve for x
   x = 171,287,963,030.25/189,175.50
6. Step 6: Final answer
   x = 905,444.75