Finding the Third Proportional to 71,185 and 148,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,185 : 148,915.50 = 148,915.50 : x
2. Step 2: Convert to fraction form
   71,185/148,915.50 = 148,915.50/x
3. Step 3: Cross multiply
   71,185x = 148,915.50 × 148,915.50
4. Step 4: Simplify right side
   71,185x = 22,175,826,140.25
5. Step 5: Solve for x
   x = 22,175,826,140.25/71,185
6. Step 6: Final answer
   x = 311,523.86