Finding the Third Proportional to 291,666 and 456,942

Step by Step Solution

1. Step 1: Write the proportion equation
   291,666 : 456,942 = 456,942 : x
2. Step 2: Convert to fraction form
   291,666/456,942 = 456,942/x
3. Step 3: Cross multiply
   291,666x = 456,942 × 456,942
4. Step 4: Simplify right side
   291,666x = 208,795,991,364
5. Step 5: Solve for x
   x = 208,795,991,364/291,666
6. Step 6: Final answer
   x = 715,873.61