Finding the Third Proportional to 509,394 and 746,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,394 : 746,041.50 = 746,041.50 : x
2. Step 2: Convert to fraction form
   509,394/746,041.50 = 746,041.50/x
3. Step 3: Cross multiply
   509,394x = 746,041.50 × 746,041.50
4. Step 4: Simplify right side
   509,394x = 556,577,919,722.25
5. Step 5: Solve for x
   x = 556,577,919,722.25/509,394
6. Step 6: Final answer
   x = 1,092,627.55