Finding the Third Proportional to 357,436 and 769,784

Step by Step Solution

1. Step 1: Write the proportion equation
   357,436 : 769,784 = 769,784 : x
2. Step 2: Convert to fraction form
   357,436/769,784 = 769,784/x
3. Step 3: Cross multiply
   357,436x = 769,784 × 769,784
4. Step 4: Simplify right side
   357,436x = 592,567,406,656
5. Step 5: Solve for x
   x = 592,567,406,656/357,436
6. Step 6: Final answer
   x = 1,657,827.99