Finding the Third Proportional to 460,197 and 706,362.75

Step by Step Solution

1. Step 1: Write the proportion equation
   460,197 : 706,362.75 = 706,362.75 : x
2. Step 2: Convert to fraction form
   460,197/706,362.75 = 706,362.75/x
3. Step 3: Cross multiply
   460,197x = 706,362.75 × 706,362.75
4. Step 4: Simplify right side
   460,197x = 498,948,334,587.56
5. Step 5: Solve for x
   x = 498,948,334,587.56/460,197
6. Step 6: Final answer
   x = 1,084,205.97