Finding the Third Proportional to 364,748 and 545,662

Step by Step Solution

1. Step 1: Write the proportion equation
   364,748 : 545,662 = 545,662 : x
2. Step 2: Convert to fraction form
   364,748/545,662 = 545,662/x
3. Step 3: Cross multiply
   364,748x = 545,662 × 545,662
4. Step 4: Simplify right side
   364,748x = 297,747,018,244
5. Step 5: Solve for x
   x = 297,747,018,244/364,748
6. Step 6: Final answer
   x = 816,308.84