Finding the Third Proportional to 308,416.50 and 460,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   308,416.50 : 460,066.50 = 460,066.50 : x
2. Step 2: Convert to fraction form
   308,416.50/460,066.50 = 460,066.50/x
3. Step 3: Cross multiply
   308,416.50x = 460,066.50 × 460,066.50
4. Step 4: Simplify right side
   308,416.50x = 211,661,184,422.25
5. Step 5: Solve for x
   x = 211,661,184,422.25/308,416.50
6. Step 6: Final answer
   x = 686,283.60