Finding the Third Proportional to 460,458 and 710,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   460,458 : 710,356.50 = 710,356.50 : x
2. Step 2: Convert to fraction form
   460,458/710,356.50 = 710,356.50/x
3. Step 3: Cross multiply
   460,458x = 710,356.50 × 710,356.50
4. Step 4: Simplify right side
   460,458x = 504,606,357,092.25
5. Step 5: Solve for x
   x = 504,606,357,092.25/460,458
6. Step 6: Final answer
   x = 1,095,879.23