Finding the Third Proportional to 414,882 and 626,139

Step by Step Solution

1. Step 1: Write the proportion equation
   414,882 : 626,139 = 626,139 : x
2. Step 2: Convert to fraction form
   414,882/626,139 = 626,139/x
3. Step 3: Cross multiply
   414,882x = 626,139 × 626,139
4. Step 4: Simplify right side
   414,882x = 392,050,047,321
5. Step 5: Solve for x
   x = 392,050,047,321/414,882
6. Step 6: Final answer
   x = 944,967.60