Finding the Third Proportional to 470,382 and 706,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   470,382 : 706,633.50 = 706,633.50 : x
2. Step 2: Convert to fraction form
   470,382/706,633.50 = 706,633.50/x
3. Step 3: Cross multiply
   470,382x = 706,633.50 × 706,633.50
4. Step 4: Simplify right side
   470,382x = 499,330,903,322.25
5. Step 5: Solve for x
   x = 499,330,903,322.25/470,382
6. Step 6: Final answer
   x = 1,061,543.39