Finding the Third Proportional to 199,747 and 429,140

Step by Step Solution

1. Step 1: Write the proportion equation
   199,747 : 429,140 = 429,140 : x
2. Step 2: Convert to fraction form
   199,747/429,140 = 429,140/x
3. Step 3: Cross multiply
   199,747x = 429,140 × 429,140
4. Step 4: Simplify right side
   199,747x = 184,161,139,600
5. Step 5: Solve for x
   x = 184,161,139,600/199,747
6. Step 6: Final answer
   x = 921,971.99