Finding the Third Proportional to 147,787.50 and 317,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,787.50 : 317,748.50 = 317,748.50 : x
2. Step 2: Convert to fraction form
   147,787.50/317,748.50 = 317,748.50/x
3. Step 3: Cross multiply
   147,787.50x = 317,748.50 × 317,748.50
4. Step 4: Simplify right side
   147,787.50x = 100,964,109,252.25
5. Step 5: Solve for x
   x = 100,964,109,252.25/147,787.50
6. Step 6: Final answer
   x = 683,170.83