Finding the Third Proportional to 148,262.50 and 317,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,262.50 : 317,977.50 = 317,977.50 : x
2. Step 2: Convert to fraction form
   148,262.50/317,977.50 = 317,977.50/x
3. Step 3: Cross multiply
   148,262.50x = 317,977.50 × 317,977.50
4. Step 4: Simplify right side
   148,262.50x = 101,109,690,506.25
5. Step 5: Solve for x
   x = 101,109,690,506.25/148,262.50
6. Step 6: Final answer
   x = 681,964.02