Finding the Third Proportional to 364,077.50 and 546,116

Step by Step Solution

1. Step 1: Write the proportion equation
   364,077.50 : 546,116 = 546,116 : x
2. Step 2: Convert to fraction form
   364,077.50/546,116 = 546,116/x
3. Step 3: Cross multiply
   364,077.50x = 546,116 × 546,116
4. Step 4: Simplify right side
   364,077.50x = 298,242,685,456
5. Step 5: Solve for x
   x = 298,242,685,456/364,077.50
6. Step 6: Final answer
   x = 819,173.63