Finding the Third Proportional to 199,111.50 and 429,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,111.50 : 429,892.50 = 429,892.50 : x
2. Step 2: Convert to fraction form
   199,111.50/429,892.50 = 429,892.50/x
3. Step 3: Cross multiply
   199,111.50x = 429,892.50 × 429,892.50
4. Step 4: Simplify right side
   199,111.50x = 184,807,561,556.25
5. Step 5: Solve for x
   x = 184,807,561,556.25/199,111.50
6. Step 6: Final answer
   x = 928,161.16