Finding the Third Proportional to 199,851 and 429,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,851 : 429,346.50 = 429,346.50 : x
2. Step 2: Convert to fraction form
   199,851/429,346.50 = 429,346.50/x
3. Step 3: Cross multiply
   199,851x = 429,346.50 × 429,346.50
4. Step 4: Simplify right side
   199,851x = 184,338,417,062.25
5. Step 5: Solve for x
   x = 184,338,417,062.25/199,851
6. Step 6: Final answer
   x = 922,379.26