Finding the Third Proportional to 434,784 and 571,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   434,784 : 571,738.75 = 571,738.75 : x
2. Step 2: Convert to fraction form
   434,784/571,738.75 = 571,738.75/x
3. Step 3: Cross multiply
   434,784x = 571,738.75 × 571,738.75
4. Step 4: Simplify right side
   434,784x = 326,885,198,251.56
5. Step 5: Solve for x
   x = 326,885,198,251.56/434,784
6. Step 6: Final answer
   x = 751,833.55