Finding the Third Proportional to 546,768 and 820,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   546,768 : 820,147.50 = 820,147.50 : x
2. Step 2: Convert to fraction form
   546,768/820,147.50 = 820,147.50/x
3. Step 3: Cross multiply
   546,768x = 820,147.50 × 820,147.50
4. Step 4: Simplify right side
   546,768x = 672,641,921,756.25
5. Step 5: Solve for x
   x = 672,641,921,756.25/546,768
6. Step 6: Final answer
   x = 1,230,214.50