Finding the Third Proportional to 152,566 and 319,076

Step by Step Solution

1. Step 1: Write the proportion equation
   152,566 : 319,076 = 319,076 : x
2. Step 2: Convert to fraction form
   152,566/319,076 = 319,076/x
3. Step 3: Cross multiply
   152,566x = 319,076 × 319,076
4. Step 4: Simplify right side
   152,566x = 101,809,493,776
5. Step 5: Solve for x
   x = 101,809,493,776/152,566
6. Step 6: Final answer
   x = 667,314.43