Finding the Third Proportional to 413,758.50 and 886,566

Step by Step Solution

1. Step 1: Write the proportion equation
   413,758.50 : 886,566 = 886,566 : x
2. Step 2: Convert to fraction form
   413,758.50/886,566 = 886,566/x
3. Step 3: Cross multiply
   413,758.50x = 886,566 × 886,566
4. Step 4: Simplify right side
   413,758.50x = 785,999,272,356
5. Step 5: Solve for x
   x = 785,999,272,356/413,758.50
6. Step 6: Final answer
   x = 1,899,657.10