Finding the Third Proportional to 71,658 and 155,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,658 : 155,758.50 = 155,758.50 : x
2. Step 2: Convert to fraction form
   71,658/155,758.50 = 155,758.50/x
3. Step 3: Cross multiply
   71,658x = 155,758.50 × 155,758.50
4. Step 4: Simplify right side
   71,658x = 24,260,710,322.25
5. Step 5: Solve for x
   x = 24,260,710,322.25/71,658
6. Step 6: Final answer
   x = 338,562.48