Finding the Third Proportional to 141,964 and 288,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,964 : 288,099.50 = 288,099.50 : x
2. Step 2: Convert to fraction form
   141,964/288,099.50 = 288,099.50/x
3. Step 3: Cross multiply
   141,964x = 288,099.50 × 288,099.50
4. Step 4: Simplify right side
   141,964x = 83,001,321,900.25
5. Step 5: Solve for x
   x = 83,001,321,900.25/141,964
6. Step 6: Final answer
   x = 584,664.58