Finding the Third Proportional to 199,755 and 429,156

Step by Step Solution

1. Step 1: Write the proportion equation
   199,755 : 429,156 = 429,156 : x
2. Step 2: Convert to fraction form
   199,755/429,156 = 429,156/x
3. Step 3: Cross multiply
   199,755x = 429,156 × 429,156
4. Step 4: Simplify right side
   199,755x = 184,174,872,336
5. Step 5: Solve for x
   x = 184,174,872,336/199,755
6. Step 6: Final answer
   x = 922,003.82