Finding the Third Proportional to 308,406.50 and 460,053

Step by Step Solution

1. Step 1: Write the proportion equation
   308,406.50 : 460,053 = 460,053 : x
2. Step 2: Convert to fraction form
   308,406.50/460,053 = 460,053/x
3. Step 3: Cross multiply
   308,406.50x = 460,053 × 460,053
4. Step 4: Simplify right side
   308,406.50x = 211,648,762,809
5. Step 5: Solve for x
   x = 211,648,762,809/308,406.50
6. Step 6: Final answer
   x = 686,265.57