Finding the Third Proportional to 535,436 and 785,280

Step by Step Solution

1. Step 1: Write the proportion equation
   535,436 : 785,280 = 785,280 : x
2. Step 2: Convert to fraction form
   535,436/785,280 = 785,280/x
3. Step 3: Cross multiply
   535,436x = 785,280 × 785,280
4. Step 4: Simplify right side
   535,436x = 616,664,678,400
5. Step 5: Solve for x
   x = 616,664,678,400/535,436
6. Step 6: Final answer
   x = 1,151,705.67