Finding the Third Proportional to 291,210 and 456,904

Step by Step Solution

1. Step 1: Write the proportion equation
   291,210 : 456,904 = 456,904 : x
2. Step 2: Convert to fraction form
   291,210/456,904 = 456,904/x
3. Step 3: Cross multiply
   291,210x = 456,904 × 456,904
4. Step 4: Simplify right side
   291,210x = 208,761,265,216
5. Step 5: Solve for x
   x = 208,761,265,216/291,210
6. Step 6: Final answer
   x = 716,875.33