Finding the Third Proportional to 535,322 and 788,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   535,322 : 788,193.50 = 788,193.50 : x
2. Step 2: Convert to fraction form
   535,322/788,193.50 = 788,193.50/x
3. Step 3: Cross multiply
   535,322x = 788,193.50 × 788,193.50
4. Step 4: Simplify right side
   535,322x = 621,248,993,442.25
5. Step 5: Solve for x
   x = 621,248,993,442.25/535,322
6. Step 6: Final answer
   x = 1,160,514.59