Finding the Third Proportional to 291,214 and 456,910

Step by Step Solution

1. Step 1: Write the proportion equation
   291,214 : 456,910 = 456,910 : x
2. Step 2: Convert to fraction form
   291,214/456,910 = 456,910/x
3. Step 3: Cross multiply
   291,214x = 456,910 × 456,910
4. Step 4: Simplify right side
   291,214x = 208,766,748,100
5. Step 5: Solve for x
   x = 208,766,748,100/291,214
6. Step 6: Final answer
   x = 716,884.31