Finding the Third Proportional to 460,413 and 705,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   460,413 : 705,361.50 = 705,361.50 : x
2. Step 2: Convert to fraction form
   460,413/705,361.50 = 705,361.50/x
3. Step 3: Cross multiply
   460,413x = 705,361.50 × 705,361.50
4. Step 4: Simplify right side
   460,413x = 497,534,845,682.25
5. Step 5: Solve for x
   x = 497,534,845,682.25/460,413
6. Step 6: Final answer
   x = 1,080,627.28