Finding the Third Proportional to 159,694 and 266,140

Step by Step Solution

1. Step 1: Write the proportion equation
   159,694 : 266,140 = 266,140 : x
2. Step 2: Convert to fraction form
   159,694/266,140 = 266,140/x
3. Step 3: Cross multiply
   159,694x = 266,140 × 266,140
4. Step 4: Simplify right side
   159,694x = 70,830,499,600
5. Step 5: Solve for x
   x = 70,830,499,600/159,694
6. Step 6: Final answer
   x = 443,538.89