Finding the Third Proportional to 401,394 and 842,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,394 : 842,191.50 = 842,191.50 : x
2. Step 2: Convert to fraction form
   401,394/842,191.50 = 842,191.50/x
3. Step 3: Cross multiply
   401,394x = 842,191.50 × 842,191.50
4. Step 4: Simplify right side
   401,394x = 709,286,522,672.25
5. Step 5: Solve for x
   x = 709,286,522,672.25/401,394
6. Step 6: Final answer
   x = 1,767,058.11