Finding the Third Proportional to 434,786 and 571,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   434,786 : 571,741.50 = 571,741.50 : x
2. Step 2: Convert to fraction form
   434,786/571,741.50 = 571,741.50/x
3. Step 3: Cross multiply
   434,786x = 571,741.50 × 571,741.50
4. Step 4: Simplify right side
   434,786x = 326,888,342,822.25
5. Step 5: Solve for x
   x = 326,888,342,822.25/434,786
6. Step 6: Final answer
   x = 751,837.32