Finding the Third Proportional to 429,798.50 and 581,634

Step by Step Solution

1. Step 1: Write the proportion equation
   429,798.50 : 581,634 = 581,634 : x
2. Step 2: Convert to fraction form
   429,798.50/581,634 = 581,634/x
3. Step 3: Cross multiply
   429,798.50x = 581,634 × 581,634
4. Step 4: Simplify right side
   429,798.50x = 338,298,109,956
5. Step 5: Solve for x
   x = 338,298,109,956/429,798.50
6. Step 6: Final answer
   x = 787,108.63