Finding the Third Proportional to 460,410 and 710,298

Step by Step Solution

1. Step 1: Write the proportion equation
   460,410 : 710,298 = 710,298 : x
2. Step 2: Convert to fraction form
   460,410/710,298 = 710,298/x
3. Step 3: Cross multiply
   460,410x = 710,298 × 710,298
4. Step 4: Simplify right side
   460,410x = 504,523,248,804
5. Step 5: Solve for x
   x = 504,523,248,804/460,410
6. Step 6: Final answer
   x = 1,095,812.97