Finding the Third Proportional to 71,480 and 152,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,480 : 152,776.50 = 152,776.50 : x
2. Step 2: Convert to fraction form
   71,480/152,776.50 = 152,776.50/x
3. Step 3: Cross multiply
   71,480x = 152,776.50 × 152,776.50
4. Step 4: Simplify right side
   71,480x = 23,340,658,952.25
5. Step 5: Solve for x
   x = 23,340,658,952.25/71,480
6. Step 6: Final answer
   x = 326,534.12