Finding the Third Proportional to 520,588 and 787,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   520,588 : 787,438.50 = 787,438.50 : x
2. Step 2: Convert to fraction form
   520,588/787,438.50 = 787,438.50/x
3. Step 3: Cross multiply
   520,588x = 787,438.50 × 787,438.50
4. Step 4: Simplify right side
   520,588x = 620,059,391,282.25
5. Step 5: Solve for x
   x = 620,059,391,282.25/520,588
6. Step 6: Final answer
   x = 1,191,075.08