Finding the Third Proportional to 364,527 and 546,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,527 : 546,784.50 = 546,784.50 : x
2. Step 2: Convert to fraction form
   364,527/546,784.50 = 546,784.50/x
3. Step 3: Cross multiply
   364,527x = 546,784.50 × 546,784.50
4. Step 4: Simplify right side
   364,527x = 298,973,289,440.25
5. Step 5: Solve for x
   x = 298,973,289,440.25/364,527
6. Step 6: Final answer
   x = 820,167.75