Finding the Third Proportional to 364,530 and 546,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,530 : 546,787.50 = 546,787.50 : x
2. Step 2: Convert to fraction form
   364,530/546,787.50 = 546,787.50/x
3. Step 3: Cross multiply
   364,530x = 546,787.50 × 546,787.50
4. Step 4: Simplify right side
   364,530x = 298,976,570,156.25
5. Step 5: Solve for x
   x = 298,976,570,156.25/364,530
6. Step 6: Final answer
   x = 820,170.00