Finding the Third Proportional to 364,084.50 and 546,126

Step by Step Solution

1. Step 1: Write the proportion equation
   364,084.50 : 546,126 = 546,126 : x
2. Step 2: Convert to fraction form
   364,084.50/546,126 = 546,126/x
3. Step 3: Cross multiply
   364,084.50x = 546,126 × 546,126
4. Step 4: Simplify right side
   364,084.50x = 298,253,607,876
5. Step 5: Solve for x
   x = 298,253,607,876/364,084.50
6. Step 6: Final answer
   x = 819,187.88