Finding the Third Proportional to 293,933.50 and 429,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   293,933.50 : 429,558.50 = 429,558.50 : x
2. Step 2: Convert to fraction form
   293,933.50/429,558.50 = 429,558.50/x
3. Step 3: Cross multiply
   293,933.50x = 429,558.50 × 429,558.50
4. Step 4: Simplify right side
   293,933.50x = 184,520,504,922.25
5. Step 5: Solve for x
   x = 184,520,504,922.25/293,933.50
6. Step 6: Final answer
   x = 627,762.76