Finding the Third Proportional to 199,688 and 429,822

Step by Step Solution

1. Step 1: Write the proportion equation
   199,688 : 429,822 = 429,822 : x
2. Step 2: Convert to fraction form
   199,688/429,822 = 429,822/x
3. Step 3: Cross multiply
   199,688x = 429,822 × 429,822
4. Step 4: Simplify right side
   199,688x = 184,746,951,684
5. Step 5: Solve for x
   x = 184,746,951,684/199,688
6. Step 6: Final answer
   x = 925,178.04