Finding the Third Proportional to 506,061 and 762,426

Step by Step Solution

1. Step 1: Write the proportion equation
   506,061 : 762,426 = 762,426 : x
2. Step 2: Convert to fraction form
   506,061/762,426 = 762,426/x
3. Step 3: Cross multiply
   506,061x = 762,426 × 762,426
4. Step 4: Simplify right side
   506,061x = 581,293,405,476
5. Step 5: Solve for x
   x = 581,293,405,476/506,061
6. Step 6: Final answer
   x = 1,148,662.72