Finding the Third Proportional to 214,888 and 472,664

Step by Step Solution

1. Step 1: Write the proportion equation
   214,888 : 472,664 = 472,664 : x
2. Step 2: Convert to fraction form
   214,888/472,664 = 472,664/x
3. Step 3: Cross multiply
   214,888x = 472,664 × 472,664
4. Step 4: Simplify right side
   214,888x = 223,411,256,896
5. Step 5: Solve for x
   x = 223,411,256,896/214,888
6. Step 6: Final answer
   x = 1,039,663.72