Finding the Third Proportional to 358,921 and 522,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   358,921 : 522,799.50 = 522,799.50 : x
2. Step 2: Convert to fraction form
   358,921/522,799.50 = 522,799.50/x
3. Step 3: Cross multiply
   358,921x = 522,799.50 × 522,799.50
4. Step 4: Simplify right side
   358,921x = 273,319,317,200.25
5. Step 5: Solve for x
   x = 273,319,317,200.25/358,921
6. Step 6: Final answer
   x = 761,502.72