Finding the Third Proportional to 359,916 and 772,200

Step by Step Solution

1. Step 1: Write the proportion equation
   359,916 : 772,200 = 772,200 : x
2. Step 2: Convert to fraction form
   359,916/772,200 = 772,200/x
3. Step 3: Cross multiply
   359,916x = 772,200 × 772,200
4. Step 4: Simplify right side
   359,916x = 596,292,840,000
5. Step 5: Solve for x
   x = 596,292,840,000/359,916
6. Step 6: Final answer
   x = 1,656,755.58