Finding the Third Proportional to 462,784.50 and 699,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   462,784.50 : 699,106.50 = 699,106.50 : x
2. Step 2: Convert to fraction form
   462,784.50/699,106.50 = 699,106.50/x
3. Step 3: Cross multiply
   462,784.50x = 699,106.50 × 699,106.50
4. Step 4: Simplify right side
   462,784.50x = 488,749,898,342.25
5. Step 5: Solve for x
   x = 488,749,898,342.25/462,784.50
6. Step 6: Final answer
   x = 1,056,106.89