Finding the Third Proportional to 470,064 and 716,109

Step by Step Solution

1. Step 1: Write the proportion equation
   470,064 : 716,109 = 716,109 : x
2. Step 2: Convert to fraction form
   470,064/716,109 = 716,109/x
3. Step 3: Cross multiply
   470,064x = 716,109 × 716,109
4. Step 4: Simplify right side
   470,064x = 512,812,099,881
5. Step 5: Solve for x
   x = 512,812,099,881/470,064
6. Step 6: Final answer
   x = 1,090,941.02