Finding the Third Proportional to 185,562.50 and 413,623

Step by Step Solution

1. Step 1: Write the proportion equation
   185,562.50 : 413,623 = 413,623 : x
2. Step 2: Convert to fraction form
   185,562.50/413,623 = 413,623/x
3. Step 3: Cross multiply
   185,562.50x = 413,623 × 413,623
4. Step 4: Simplify right side
   185,562.50x = 171,083,986,129
5. Step 5: Solve for x
   x = 171,083,986,129/185,562.50
6. Step 6: Final answer
   x = 921,975.00