Finding the Third Proportional to 288,156 and 462,988.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,156 : 462,988.50 = 462,988.50 : x
2. Step 2: Convert to fraction form
   288,156/462,988.50 = 462,988.50/x
3. Step 3: Cross multiply
   288,156x = 462,988.50 × 462,988.50
4. Step 4: Simplify right side
   288,156x = 214,358,351,132.25
5. Step 5: Solve for x
   x = 214,358,351,132.25/288,156
6. Step 6: Final answer
   x = 743,896.89