Finding the Third Proportional to 359,069 and 546,065

Step by Step Solution

1. Step 1: Write the proportion equation
   359,069 : 546,065 = 546,065 : x
2. Step 2: Convert to fraction form
   359,069/546,065 = 546,065/x
3. Step 3: Cross multiply
   359,069x = 546,065 × 546,065
4. Step 4: Simplify right side
   359,069x = 298,186,984,225
5. Step 5: Solve for x
   x = 298,186,984,225/359,069
6. Step 6: Final answer
   x = 830,444.80