Finding the Third Proportional to 299,430 and 461,535.75

Step by Step Solution

1. Step 1: Write the proportion equation
   299,430 : 461,535.75 = 461,535.75 : x
2. Step 2: Convert to fraction form
   299,430/461,535.75 = 461,535.75/x
3. Step 3: Cross multiply
   299,430x = 461,535.75 × 461,535.75
4. Step 4: Simplify right side
   299,430x = 213,015,248,528.06
5. Step 5: Solve for x
   x = 213,015,248,528.06/299,430
6. Step 6: Final answer
   x = 711,402.49