Finding the Third Proportional to 345,300 and 516,426

Step by Step Solution

1. Step 1: Write the proportion equation
   345,300 : 516,426 = 516,426 : x
2. Step 2: Convert to fraction form
   345,300/516,426 = 516,426/x
3. Step 3: Cross multiply
   345,300x = 516,426 × 516,426
4. Step 4: Simplify right side
   345,300x = 266,695,813,476
5. Step 5: Solve for x
   x = 266,695,813,476/345,300
6. Step 6: Final answer
   x = 772,359.73