Finding the Third Proportional to 492,749 and 686,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   492,749 : 686,523.50 = 686,523.50 : x
2. Step 2: Convert to fraction form
   492,749/686,523.50 = 686,523.50/x
3. Step 3: Cross multiply
   492,749x = 686,523.50 × 686,523.50
4. Step 4: Simplify right side
   492,749x = 471,314,516,052.25
5. Step 5: Solve for x
   x = 471,314,516,052.25/492,749
6. Step 6: Final answer
   x = 956,500.20